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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?

EFGH, ABCD, BCGF, EHAD, HGCD and ABFE are the rectangular faces of the rectangular cuboid.
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 vertices; the line segments of itsskeleton are its edges; and its flat surfaces are its faces.

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?

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.

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?

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?

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 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?

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?

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.

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?

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?

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?

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?

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).

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?

Aditi Dey answered
8 edges -4 sides of square and 4 sides of triangular faces,            

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?

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 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?

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.

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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