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CBSE · Class 7 · Mathematics

Visualising Solid Shapes quiz

Q01
MCQ

The number of edges of a cube is:

(a) 6
(b) 8
(c) 12
(d) 10 (1 mark)
Q02
MCQ

Which is a 2-D shape?

(a) Cube
(b) Sphere
(c) Circle
(d) Cone (1 mark)
Q03
MCQ

A square pyramid has how many vertices?

(a) 4
(b) 5
(c) 6
(d) 8 (1 mark)
Q04
MCQ

The cross-section of a cylinder cut parallel to its base is a:

(a) rectangle
(b) circle
(c) triangle
(d) square (1 mark)
Q05
MCQ

Which solid has no vertex and no edge?

(a) Cone
(b) Cylinder
(c) Sphere
(d) Cube (1 mark)
Q06
MCQ

A triangular prism has how many faces?

(a) 3
(b) 4
(c) 5
(d) 6 (1 mark)
Q07
MCQ

The shadow of a ball is a:

(a) square
(b) triangle
(c) circle
(d) rectangle (1 mark)
Q08
MCQ

Isometric sketches are drawn on:

(a) squared paper
(b) isometric dot paper
(c) graph paper only
(d) plain paper only (1 mark)
Q09
MCQ

Which solid has 1 curved surface, 1 flat face and 1 vertex?

(a) Cylinder
(b) Cone
(c) Sphere
(d) Pyramid (1 mark)
Q10
MCQ

The number of faces of a triangular pyramid is:

(a) 3
(b) 4
(c) 5
(d) 6 (1 mark)
Q11
Short

Name two solids that have both flat and curved surfaces. (2 marks)

Q12
Short

How many faces, edges and vertices does a cuboid have? (2 marks)

Q13
Short

What is the shape of the cross-section when a brick is cut parallel to its length? (2 marks)

Q14
Short

Name the solid formed by the net consisting of 2 triangles and 3 rectangles. (2 marks)

Q15
Short

Draw or describe the top view of a cone placed on its base. (2 marks)

Q16
Short

Give two real-life examples each of a cylinder and a sphere. (2 marks)

Q17
Short

Can a shadow of a cube be a hexagon? Explain when. (2 marks)

Q18
Short

Name the 3-D shapes of a brick, a dice, a party cap and a gas cylinder. (2 marks)

Q19
Short

What is the difference between a prism and a pyramid? (2 marks)

Q20
Short

Which numbers are opposite each other on a standard dice? (2 marks)

Q21
Numerical

Find faces, edges and vertices of a pentagonal prism and a pentagonal pyramid. Verify F + V - E = 2 for each. (3 marks)

Q22
Numerical

A cube of side 4 cm is made from unit cubes of side 1 cm. How many unit cubes are used? How many are on the outer surface? (3 marks)

Q23
Numerical

Three cubes each of side 3 cm are joined end to end. Find the length, breadth and height of the cuboid formed and the number of faces of the new solid. (3 marks)

Q24
Numerical

A solid has 6 vertices and 9 edges. Using F + V - E = 2, find its faces and name the solid. (3 marks)

Q25
Numerical

A cube is painted on all faces and cut into 27 equal small cubes. How many small cubes have (i) 3 faces painted (ii) 2 faces painted (iii) no face painted? (3 marks)

Q26
Case

Read the passage and answer the questions. In a shadow play, Meena holds objects in front of a torch and looks at their shadows on a wall. (i) What is the shadow of an upright cylinder when the light is from the side? (ii) What is the shadow of a cone when the light is from the side? (iii) Why do shadows give only a 2-D view? (5 marks)

Q27
Case

Read the passage and answer the questions. A carpenter cuts a cuboid wooden block with a saw. (i) What shape is the cross-section if he cuts parallel to a face? (ii) What shape does he get on cutting a cylindrical log across its length? (iii) What shape is the cross-section of a cone cut parallel to its base? (5 marks)

Q28
Case

Read the passage and answer the questions. A toy is made by placing a cone on top of a cylinder of the same radius. (i) How many curved surfaces does it have? (ii) How many flat faces? (iii) Draw or describe its front view. (5 marks)

Q29
Case

Read the passage and answer the questions. A gift box is a cube of side 10 cm. Raju opens it flat to make a net. (i) How many squares are in the net? (ii) What is the total area of the net? (iii) Draw or describe one possible net. (5 marks)

Q30
Case

Read the passage and answer the questions. Students built a structure using 5 identical cubes: 4 in a row and 1 on top of the second cube. (i) Describe the front view. (ii) Describe the top view. (iii) How many cube faces are hidden where the cubes touch? (5 marks)

Q31
Long/Diagram

Draw the nets of a cube, a cuboid, a triangular prism and a cone. Label the faces of each. (6 marks)

Q32
Long/Diagram

Draw an oblique sketch and an isometric sketch of a cube of side 3 cm and explain the difference between the two drawings. (6 marks)

Q33
Long/Diagram

Draw the top, front and side views of (i) a cylinder standing on its base (ii) a cone standing on its base (iii) a square pyramid. (6 marks)

Q34
Long/Diagram

Make a table in sentences giving faces, edges and vertices of a cube, cuboid, triangular prism, square pyramid and triangular pyramid, and verify F + V - E = 2 for each. Draw any two of them. (6 marks)

Q35
Long/Diagram

Explain three ways of viewing 3-D shapes in parts: cutting (slicing), shadow play and viewing from different angles. Give an example and a diagram for each. (6 marks)

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