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All questions of Visualising Solid Shapes for Class 7 Exam
A cuboid has ________ rectangular faces.
- a)8
- b)2
- c)6
- d)4
Correct answer is option 'C'. Can you explain this answer?
A cuboid has ________ rectangular faces.
a)
8
b)
2
c)
6
d)
4
|
Vandana Mukherjee answered |
EFGH, ABCD, BCGF, EHAD, HGCD and ABFE are the rectangular faces of the rectangular cuboid.
Thus, a rectangular cuboid has 6 rectangular faces.
Thus, a rectangular cuboid has 6 rectangular faces.
The corners of a solid shape are called its ________.- a)vertices
- b)faces
- c)edges
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The corners of a solid shape are called its ________.
a)
vertices
b)
faces
c)
edges
d)
None of these
|
Hrishikesh Goyal answered |
The corners of a solid shape are called its vertices; the line segments of itsskeleton are its edges; and its flat surfaces are its faces.
Two cubes of dimensions 2 cm x 2 cm x 2 cm are placed side by side, the length of resulting Cuboid is
a)7
b)4
c)2
d)6
Correct answer is 'B'. Can you explain this answer?
|
Mahi Mishra answered |
Length of cuboid will be 2+2=4cm
Height of cuboid =2cm
breath of cuboid=2cm
Height of cuboid =2cm
breath of cuboid=2cm
The number of linear faces of a cylinder is _______.
- a)2
- b)1
- c)3
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The number of linear faces of a cylinder is _______.
a)
2
b)
1
c)
3
d)
None of these
|
Rajveer Chavan answered |
**Explanation:**
A cylinder is a three-dimensional shape that consists of two circular bases and a curved surface connecting the bases. Let's break down the different parts of a cylinder to understand the number of faces it has.
1. **Bases:** A cylinder has two circular bases, one at the top and one at the bottom. The bases are flat and have the shape of a circle. Each base is considered a face of the cylinder.
2. **Curved Surface:** The curved surface of a cylinder is not considered a face. It is a single continuous surface that wraps around the cylinder, connecting the two bases. The curved surface does not have any distinct edges or faces.
Therefore, the number of faces of a cylinder is equal to the number of circular bases it has, which is 2.
Hence, the correct answer is option A) 2.
A cylinder is a three-dimensional shape that consists of two circular bases and a curved surface connecting the bases. Let's break down the different parts of a cylinder to understand the number of faces it has.
1. **Bases:** A cylinder has two circular bases, one at the top and one at the bottom. The bases are flat and have the shape of a circle. Each base is considered a face of the cylinder.
2. **Curved Surface:** The curved surface of a cylinder is not considered a face. It is a single continuous surface that wraps around the cylinder, connecting the two bases. The curved surface does not have any distinct edges or faces.
Therefore, the number of faces of a cylinder is equal to the number of circular bases it has, which is 2.
Hence, the correct answer is option A) 2.
A die is cut horizontally. What is the cross-section obtained?- a)A triangle
- b)A rectangle
- c)A square
- d)A cube
Correct answer is option 'C'. Can you explain this answer?
A die is cut horizontally. What is the cross-section obtained?
a)
A triangle
b)
A rectangle
c)
A square
d)
A cube
|
Avi Khanna answered |
The cross section of a cube is a square.
The number of faces of a triangular prism is _______.- a)5
- b)3
- c)2
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The number of faces of a triangular prism is _______.
a)
5
b)
3
c)
2
d)
None of these
|
Anita Menon answered |
A triangular prism consists of 2 triangles and 3 rectangles. So it has two triangular faces and three rectangular faces. So it has 5 faces.
Which one is a 3D shape?- a)Circle
- b)Cube
- c)Square
- d)Rectangle
Correct answer is option 'B'. Can you explain this answer?
Which one is a 3D shape?
a)
Circle
b)
Cube
c)
Square
d)
Rectangle
|
Lavanya Menon answered |
3d shapes are the shapes having 3 dimensions. A cube has length=breadth=height. So the cube is a 3d shape.
How many vertices does a rectangular prism have?- a)8
- b)6
- c)10
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
How many vertices does a rectangular prism have?
a)
8
b)
6
c)
10
d)
None of these
|
Saanvi joshi answered |
Understanding the Rectangular Prism
A rectangular prism, also known as a cuboid, is a three-dimensional geometric shape with six rectangular faces. It is a special type of polyhedron and has specific characteristics that define its structure.
Key Features of a Rectangular Prism
- Faces: A rectangular prism has 6 faces, all of which are rectangles.
- Edges: It has 12 edges, which are the line segments where two faces meet.
- Vertices: The key focus here is the vertices.
What are Vertices?
- Vertices are the points where edges meet.
- In a rectangular prism, these points are the corners of the shape.
Counting the Vertices
- To find the number of vertices in a rectangular prism:
- Consider that each face has 4 corners.
- However, since the prism has 6 faces, some corners are shared between multiple faces.
- Specifically, each vertex is counted where three edges meet.
Final Count of Vertices
- A rectangular prism has a total of 8 vertices.
- Visualize this by imagining a box; each corner of the box represents one vertex.
Therefore, the correct answer to how many vertices a rectangular prism has is option 'A' - 8.
A rectangular prism, also known as a cuboid, is a three-dimensional geometric shape with six rectangular faces. It is a special type of polyhedron and has specific characteristics that define its structure.
Key Features of a Rectangular Prism
- Faces: A rectangular prism has 6 faces, all of which are rectangles.
- Edges: It has 12 edges, which are the line segments where two faces meet.
- Vertices: The key focus here is the vertices.
What are Vertices?
- Vertices are the points where edges meet.
- In a rectangular prism, these points are the corners of the shape.
Counting the Vertices
- To find the number of vertices in a rectangular prism:
- Consider that each face has 4 corners.
- However, since the prism has 6 faces, some corners are shared between multiple faces.
- Specifically, each vertex is counted where three edges meet.
Final Count of Vertices
- A rectangular prism has a total of 8 vertices.
- Visualize this by imagining a box; each corner of the box represents one vertex.
Therefore, the correct answer to how many vertices a rectangular prism has is option 'A' - 8.
Identify the false statement from the following.- a)A cuboid has 3 pairs of opposite faces.
- b)The number of vertices of a cube is 6.
- c)All sides of a square are equal.
- d)A cuboid is a three dimensional figure.
Correct answer is option 'B'. Can you explain this answer?
Identify the false statement from the following.
a)
A cuboid has 3 pairs of opposite faces.
b)
The number of vertices of a cube is 6.
c)
All sides of a square are equal.
d)
A cuboid is a three dimensional figure.
|
Praveen Kumar answered |
The number of vertices in a cube is 8.
The statement regarding the number of vertices in a cube is incorrect. Here are the details:
- A cube has 8 vertices.
- Each vertex is a point where three edges meet.
- This makes the cube a type of cuboid with equal edge lengths.
Thus, the correct information is that a cube contains 8 vertices, not 6.
The number of rectangular faces of a triangular prism is _______.- a)2
- b)3
- c)1
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The number of rectangular faces of a triangular prism is _______.
a)
2
b)
3
c)
1
d)
None of these
|
|
Anita Menon answered |
A triangular prism has 3 rectangular faces joining the two triangles.
The vertical cut of a brick will show the cross section is- a)circle
- b)pentagon
- c)rectangle
- d)hexagon
Correct answer is option 'C'. Can you explain this answer?
The vertical cut of a brick will show the cross section is
a)
circle
b)
pentagon
c)
rectangle
d)
hexagon
|
Geetika Shah answered |
Vertical cut means a perpendicular cut. A perpendicular cut will give the same shape as the side face of the brick. So its rectangular.
The number of faces of a square pyramid is _______.- a)5
- b)6
- c)4
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The number of faces of a square pyramid is _______.
a)
5
b)
6
c)
4
d)
None of these
|
Ishaani patel answered |
Number of Faces of a Square Pyramid
A square pyramid is a three-dimensional geometric shape that consists of a square base and four triangular faces that meet at a single point called the apex. To determine the number of faces of a square pyramid, we need to count all the flat surfaces that make up the shape.
Explanation:
A square pyramid has the following flat surfaces:
1. Square Base: The square base of the pyramid is a flat surface with four equal sides. It is the bottom face of the pyramid and is in the shape of a square.
2. Four Triangular Faces: Each of the four triangular faces is a flat surface that connects one of the four corners of the square base to the apex of the pyramid. These triangular faces are isosceles triangles, meaning they have two equal sides.
Therefore, the number of faces of a square pyramid is the sum of the square base and the four triangular faces.
Calculation:
1. Square Base: 1 face
2. Triangular Faces: 4 faces
Adding these together, we get:
1 + 4 = 5
Therefore, a square pyramid has a total of 5 faces.
Conclusion:
The correct answer is option A) 5. A square pyramid has 5 faces, which include the square base and four triangular faces.
A square pyramid is a three-dimensional geometric shape that consists of a square base and four triangular faces that meet at a single point called the apex. To determine the number of faces of a square pyramid, we need to count all the flat surfaces that make up the shape.
Explanation:
A square pyramid has the following flat surfaces:
1. Square Base: The square base of the pyramid is a flat surface with four equal sides. It is the bottom face of the pyramid and is in the shape of a square.
2. Four Triangular Faces: Each of the four triangular faces is a flat surface that connects one of the four corners of the square base to the apex of the pyramid. These triangular faces are isosceles triangles, meaning they have two equal sides.
Therefore, the number of faces of a square pyramid is the sum of the square base and the four triangular faces.
Calculation:
1. Square Base: 1 face
2. Triangular Faces: 4 faces
Adding these together, we get:
1 + 4 = 5
Therefore, a square pyramid has a total of 5 faces.
Conclusion:
The correct answer is option A) 5. A square pyramid has 5 faces, which include the square base and four triangular faces.
The number of triangular faces of a rectangular pyramid is _______.- a)4
- b)3
- c)2
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The number of triangular faces of a rectangular pyramid is _______.
a)
4
b)
3
c)
2
d)
None of these
|
|
Vrishali Menon answered |
Number of Triangular Faces of a Rectangular Pyramid
A rectangular pyramid is a solid figure that has a rectangular base and triangular faces that meet at a common vertex. To determine the number of triangular faces of a rectangular pyramid, we need to understand its structure and properties.
Structure of a Rectangular Pyramid
- A rectangular pyramid has a rectangular base, which means it has four sides that are equal in length and four right angles.
- From each vertex of the rectangular base, there is a triangular face that extends upward to meet at a common point called the apex or vertex of the pyramid.
- The triangular faces are slanted and have three sides, making them triangles.
Counting the Triangular Faces
To count the number of triangular faces of a rectangular pyramid, we need to consider the number of triangular faces that originate from the vertices of the rectangular base.
- Each vertex of the rectangular base has a triangular face extending from it.
- Since a rectangular base has four vertices, there are four triangular faces originating from these vertices.
Therefore, the number of triangular faces of a rectangular pyramid is 4.
Conclusion
In a rectangular pyramid, there are four triangular faces that originate from the vertices of the rectangular base. Thus, the correct answer is option A) 4.
A rectangular pyramid is a solid figure that has a rectangular base and triangular faces that meet at a common vertex. To determine the number of triangular faces of a rectangular pyramid, we need to understand its structure and properties.
Structure of a Rectangular Pyramid
- A rectangular pyramid has a rectangular base, which means it has four sides that are equal in length and four right angles.
- From each vertex of the rectangular base, there is a triangular face that extends upward to meet at a common point called the apex or vertex of the pyramid.
- The triangular faces are slanted and have three sides, making them triangles.
Counting the Triangular Faces
To count the number of triangular faces of a rectangular pyramid, we need to consider the number of triangular faces that originate from the vertices of the rectangular base.
- Each vertex of the rectangular base has a triangular face extending from it.
- Since a rectangular base has four vertices, there are four triangular faces originating from these vertices.
Therefore, the number of triangular faces of a rectangular pyramid is 4.
Conclusion
In a rectangular pyramid, there are four triangular faces that originate from the vertices of the rectangular base. Thus, the correct answer is option A) 4.
The number of faces of a triangular pyramid or tetrahedron is _______.- a)4
- b)6
- c)5
- d)1024
Correct answer is option 'A'. Can you explain this answer?
The number of faces of a triangular pyramid or tetrahedron is _______.
a)
4
b)
6
c)
5
d)
1024
|
|
Mahira💫 answered |
Number of edges: 6
Number of vertices: 4
Base shape: Triangle
Number of vertices: 4
Base shape: Triangle
What is the number on the face opposite to 5 on a die?- a)1
- b)2
- c)3
- d)6
Correct answer is option 'B'. Can you explain this answer?
What is the number on the face opposite to 5 on a die?
a)
1
b)
2
c)
3
d)
6
|
Simran Deshpande answered |
The number on opposite faces of a die add up to 7. So, the number on the face opposite to 5 is 2.
How many corners does the shape given have?
- a)6
- b)10
- c)12
- d)13
Correct answer is option 'C'. Can you explain this answer?
How many corners does the shape given have?
a)
6
b)
10
c)
12
d)
13
|
Shiksha Academy answered |
The shape in the image appears to be a star-like figure. By carefully counting the points where the lines meet, it can be seen that the shape has 12 corners.
The number of edges of a triangular prism is _______.- a)9
- b)3
- c)1
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The number of edges of a triangular prism is _______.
a)
9
b)
3
c)
1
d)
None of these
|
|
Mahira💫 answered |
(Notice that even when the triangular prism sits on a rectangle, the base is still a triangle.) Two of its faces are triangles; three of its faces are rectangles. It has six vertices and nine edges.
A cuboid has ________ edges.- a)6
- b)12
- c)8
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
A cuboid has ________ edges.
a)
6
b)
12
c)
8
d)
None of these
|
Varun Kapoor answered |
A cuboid has 12 edges. 4 edges on the top rectangles, 4 edges on bottom rectangle and 4 edges join both top and bottom.
A cuboid has ________ vertices.- a)6
- b)12
- c)8
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
A cuboid has ________ vertices.
a)
6
b)
12
c)
8
d)
None of these
|
Kiran Bajaj answered |
In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges. Along with the rectangular cuboids, any paralle lepiped is a cuboid of this type, as is a square frustum (the shape formed by truncation of the apex of a square pyramid).
Rakesh has 10 one rupee coins of similar kind. He puts them exactly one on the other. What shape will he get finally?- a)Circle
- b)Cylinder
- c)Cube
- d)Cone
Correct answer is option 'B'. Can you explain this answer?
Rakesh has 10 one rupee coins of similar kind. He puts them exactly one on the other. What shape will he get finally?
a)
Circle
b)
Cylinder
c)
Cube
d)
Cone
|
Anand Choudhury answered |
10 one-rupee coins piled up results in a cylinder.
How many edges does the following figure have?
- a)12
- b)8
- c)6
- d)4
Correct answer is option 'B'. Can you explain this answer?
How many edges does the following figure have?
a)
12
b)
8
c)
6
d)
4
|
Aditi Dey answered |
8 edges -4 sides of square and 4 sides of triangular faces,
Two cubes of dimensions 2 cm x 2 cm x 2 cm are placed side by side, the length of resulting Cuboid is- a)7
- b)6
- c)2
- d)4
Correct answer is option 'B'. Can you explain this answer?
Two cubes of dimensions 2 cm x 2 cm x 2 cm are placed side by side, the length of resulting Cuboid is
a)
7
b)
6
c)
2
d)
4
|
Aashna Deshpande answered |
Length of cuboid will be 2+2=4cm
Height of cuboid =2cm
breath of cuboid=2cm
Height of cuboid =2cm
breath of cuboid=2cm
The number of edges of a square pyramid is _______.- a)4
- b)6
- c)8
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The number of edges of a square pyramid is _______.
a)
4
b)
6
c)
8
d)
None of these
|
|
Shilpa shukla answered |
The square base has 4 edges and all the vertices joining one vertex at the top form 4 more edges which totals to 8.
The number of faces of a cylinder is _______.- a)2
- b)3
- c)4
- d)1
Correct answer is option 'B'. Can you explain this answer?
The number of faces of a cylinder is _______.
a)
2
b)
3
c)
4
d)
1
|
|
Deepa kapoor answered |
Understanding the Structure of a Cylinder
A cylinder is a three-dimensional geometric shape that has distinct features, which are important to understand when discussing its properties.
Faces of a Cylinder
- A cylinder consists of two circular bases.
- These bases are parallel to each other and are connected by a curved surface that wraps around the sides.
Counting the Faces
- The two circular bases are counted as separate faces.
- The curved surface that connects these bases does not count as a face in the same way that flat surfaces do in polyhedra.
Conclusion on Faces
- Therefore, the total number of faces on a cylinder is 3:
- 2 circular faces (top and bottom)
- 1 curved face (the side)
So, the correct answer to the question about the number of faces of a cylinder is option 'B', which is 3.
Visual Representation
When visualizing a cylinder:
- Imagine a can or a tube.
- Notice how it has two ends (the circular bases) and wraps around (the curved surface).
Understanding this helps clarify why we count a cylinder as having three faces, making it easier to differentiate between various three-dimensional shapes.
A cylinder is a three-dimensional geometric shape that has distinct features, which are important to understand when discussing its properties.
Faces of a Cylinder
- A cylinder consists of two circular bases.
- These bases are parallel to each other and are connected by a curved surface that wraps around the sides.
Counting the Faces
- The two circular bases are counted as separate faces.
- The curved surface that connects these bases does not count as a face in the same way that flat surfaces do in polyhedra.
Conclusion on Faces
- Therefore, the total number of faces on a cylinder is 3:
- 2 circular faces (top and bottom)
- 1 curved face (the side)
So, the correct answer to the question about the number of faces of a cylinder is option 'B', which is 3.
Visual Representation
When visualizing a cylinder:
- Imagine a can or a tube.
- Notice how it has two ends (the circular bases) and wraps around (the curved surface).
Understanding this helps clarify why we count a cylinder as having three faces, making it easier to differentiate between various three-dimensional shapes.
The shadow of a 3-D object is given. 
Which of following could the object be?- a)A book
- b)A ball
- c)A die
- d)A pipe
Correct answer is option 'A'. Can you explain this answer?
The shadow of a 3-D object is given. Which of following could the object be?
Which of following could the object be?a)
A book
b)
A ball
c)
A die
d)
A pipe
|
Maheshwar Verma answered |
A book is cuboidal whose shadow is a rectangle.
Which of the following figures has six faces?- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
Which of the following figures has six faces?
a)
b)
c)
d)
|
Shalini Menon answered |
The number effaces of a cube is 6.
Which of the following is an oblique sketch of a cube of edge 4 cm?- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Which of the following is an oblique sketch of a cube of edge 4 cm?
a)
b)
c)
d)
|
Abhay Sen answered |
A cube of edge 4 cm has square faces of side 4 cm.
Which of the following is different from the other three?- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Which of the following is different from the other three?
a)
b)
c)
d)
|
Mahi Nambiar answered |
This figure has 5 lines unlike all other figures which have four sides.
A solid object when seen from one side, looks like this. 
The same solid, when viewed from top, looks like this. 
Which of these shapes could it be?- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
A solid object when seen from one side, looks like this. The same solid, when viewed from top, looks like this. Which of these shapes could it be?
The same solid, when viewed from top, looks like this. Which of these shapes could it be?a)
b)
c)
d)
|
|
Shiksha Academy answered |
To determine the possible shape of the solid object, consider the following observations:
- The object has a distinct top view and a side view.
- From the side, the shape appears to have a specific outline that must match the profiles of the potential options.
- From the top, the shape should also conform to the outline presented in the second image.
The analysis of the options reveals:
- Examine each option for correspondence with the side and top views.
- Identify any shapes that match the unique contours seen from both perspectives.
By cross-referencing the views with the options, the correct shape can be determined based on the matching characteristics. This methodical approach ensures that the chosen option accurately reflects the solid object in both views.
The oblique sketch of 3 dice each with 2 cm edge placed side by side is given. What are its respective length, breadth and height?
- a)6 cm, 2 cm, 2 cm
- b)6 cm, 4 cm, 2 cm
- c)4 cm, 6 cm, 2 cm
- d)2 cm, 4 cm, 6 cm
Correct answer is option 'A'. Can you explain this answer?
The oblique sketch of 3 dice each with 2 cm edge placed side by side is given. What are its respective length, breadth and height?
a)
6 cm, 2 cm, 2 cm
b)
6 cm, 4 cm, 2 cm
c)
4 cm, 6 cm, 2 cm
d)
2 cm, 4 cm, 6 cm
|
Rahul Shah answered |
The height and width of the cuboid formed by placing 3 dice remain the same. Only length will be tripled.
How many triangles can be seen in this figure?
- a)3
- b)5
- c)6
- d)7
Correct answer is option 'B'. Can you explain this answer?
How many triangles can be seen in this figure?
a)
3
b)
5
c)
6
d)
7
|
|
Simran Deshpande answered |
The five triangles are, APQ, QXR, PZB, ABC and XYZ.
Which of the following pair of shapes, when joined together (by placing them edge to edge) can form a rectangle?- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Which of the following pair of shapes, when joined together (by placing them edge to edge) can form a rectangle?
a)
b)
c)
d)
|
|
Praveen Kumar answered |
Clearly, the two halves of rectangles when joined edge to edge form a rectangle.
What is the shape of P?Which of the following is a 3D shape?- a)Circle
- b)Square
- c)Cube
- d)Triangle
Correct answer is option 'C'. Can you explain this answer?
Which of the following is a 3D shape?
a)
Circle
b)
Square
c)
Cube
d)
Triangle
|
Dr Manju Sen answered |
A cube is a three-dimensional shape with six square faces of equal size, twelve edges, and eight vertices. It is one of the most commonly recognized 3D shapes in geometry.
Which shape is divided into two EQUAL parts by the dotted line?- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
Which shape is divided into two EQUAL parts by the dotted line?
a)
b)
c)
d)
|
|
Aashna Deshpande answered |
Observe the given figures. In the figure in option [d], the shape is divided equally.
The number of faces of a sphere is _______.- a)0
- b)2
- c)3
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The number of faces of a sphere is _______.
a)
0
b)
2
c)
3
d)
None of these
|
Rainbow Rise Classes answered |
The sphere has no flat faces.
- The number of faces on a sphere is zero.
- Unlike polyhedra, which have flat surfaces, a sphere is entirely curved.
- This unique shape results in the absence of any flat faces.
The number of edges of a triangular pyramid is _______.- a)8
- b)5
- c)6
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The number of edges of a triangular pyramid is _______.
a)
8
b)
5
c)
6
d)
None of these
|
|
Shiksha Academy answered |
The number of edges of a triangular pyramid is.
A triangular pyramid, also known as a tetrahedron, has the following characteristics:
- It consists of 4 triangular faces.
- There are 4 vertices where the faces meet.
- Each vertex connects to the others through edges.
- In total, a triangular pyramid has 6 edges.
Thus, the number of edges in a triangular pyramid is 6.
The following is the shadow of a 3-D object. 
Which of these objects does the shadow belong to?- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
The following is the shadow of a 3-D object. Which of these objects does the shadow belong to?
Which of these objects does the shadow belong to?a)
b)
c)
d)
|
Pallavi Banerjee answered |
The pipe is cylindrical whose shadow is circular (front view).
The number of edges of a rectangular pyramid is _______.- a)21
- b)8
- c)7
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The number of edges of a rectangular pyramid is _______.
a)
21
b)
8
c)
7
d)
None of these
|
Abhishek Khanna answered |
To find the number of edges of a rectangular pyramid, we need to understand the structure of a rectangular pyramid and count the number of edges it has.
A rectangular pyramid is a three-dimensional shape with a rectangular base and four triangular faces that meet at a single point called the apex or vertex. It can be visualized as a pyramid with a rectangular base.
Let's break down the structure of a rectangular pyramid to count its edges:
1. Base:
- A rectangular pyramid has a rectangular base.
- A rectangle has four sides.
- Each side of the rectangle is an edge of the base.
- Therefore, the base of a rectangular pyramid has 4 edges.
2. Triangular Faces:
- A rectangular pyramid has four triangular faces.
- Each triangular face is formed by connecting one vertex (apex) to the three vertices of the base.
- Each triangular face has three edges.
- Therefore, the total number of edges from the triangular faces is 4 faces × 3 edges = 12 edges.
3. Apex:
- The apex of a rectangular pyramid is a single point where all the triangular faces meet.
- The apex does not have any edges.
Now, let's sum up the edges:
- Base edges: 4 edges
- Triangular faces edges: 12 edges
- Apex edges: 0 edges
Total edges = Base edges + Triangular faces edges + Apex edges
= 4 + 12 + 0
= 16 edges
Therefore, the correct answer is option 'B' - 8.
A rectangular pyramid is a three-dimensional shape with a rectangular base and four triangular faces that meet at a single point called the apex or vertex. It can be visualized as a pyramid with a rectangular base.
Let's break down the structure of a rectangular pyramid to count its edges:
1. Base:
- A rectangular pyramid has a rectangular base.
- A rectangle has four sides.
- Each side of the rectangle is an edge of the base.
- Therefore, the base of a rectangular pyramid has 4 edges.
2. Triangular Faces:
- A rectangular pyramid has four triangular faces.
- Each triangular face is formed by connecting one vertex (apex) to the three vertices of the base.
- Each triangular face has three edges.
- Therefore, the total number of edges from the triangular faces is 4 faces × 3 edges = 12 edges.
3. Apex:
- The apex of a rectangular pyramid is a single point where all the triangular faces meet.
- The apex does not have any edges.
Now, let's sum up the edges:
- Base edges: 4 edges
- Triangular faces edges: 12 edges
- Apex edges: 0 edges
Total edges = Base edges + Triangular faces edges + Apex edges
= 4 + 12 + 0
= 16 edges
Therefore, the correct answer is option 'B' - 8.
What is the total on the face opposite to 4+3 on the dice given?
- a)3
- b)5
- c)12
- d)7
Correct answer is option 'D'. Can you explain this answer?
What is the total on the face opposite to 4+3 on the dice given?
a)
3
b)
5
c)
12
d)
7
|
|
Aashna Deshpande answered |
The sum of numbers on opposite faces is 7. So, the total on the face opposite to 4+3 is 3+4=7
.
Which of the following objects is shaped like a sphere?- a)Football
- b)Ice cube
- c)Dice
- d)Notebook
Correct answer is option 'A'. Can you explain this answer?
Which of the following objects is shaped like a sphere?
a)
Football
b)
Ice cube
c)
Dice
d)
Notebook
|
|
Rainbow Rise Classes answered |
A football is shaped like a sphere because it is round and has a smooth curved surface.
- Ice cube (A) – It has flat faces and edges, so it is not a sphere.
- Football (B) – It is round like a sphere, so this is the correct answer.
- Dice (C) – A dice is a cube with flat faces and edges, so it is not a sphere.
- Notebook (D) – A notebook is flat and rectangular, not round like a sphere.
Chapter doubts & questions for Visualising Solid Shapes - Mathematics (Maths) Class 7 2025 is part of Class 7 exam preparation. The chapters have been prepared according to the Class 7 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 7 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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