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All questions of Three-Dimensional Shapes for Grade 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)4
- b)6
- c)5
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The number of faces of a triangular prism is _______.
a)
4
b)
6
c)
5
d)
None of these
|
Anagha Choudhury answered |
A triangular prism has 5 faces, 6 vertices and 9 edges.
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.
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 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.
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.
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.
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 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.
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.
What is the shape of P?
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.
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
.
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.
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)
|
|
Pallavi Banerjee answered |
Clearly, the two halves of rectangles when joined edge to edge form a rectangle.
Chapter doubts & questions for Three-Dimensional Shapes - Mathematics for Grade 7 2025 is part of Grade 7 exam preparation. The chapters have been prepared according to the Grade 7 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Grade 7 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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