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NCERT Exemplar · Class 8 · Maths

Chapter 6: Visualising Solid Shapes

Practice each question, then open the answer or worked solution.

Questions

35 questions
Q21Written answer

According to the map, the number of schools in the town is

(a) 4 (b) 3 (c) 5 (d) 2

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Worked solution

Solution:-

(c) 5

In questions 22 to 41, fill in the blanks to make the statements true.

Q22Written answer

Square prism is also called a _______.

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Solution:-

A square prism is also called a cube.

A cube is a platonic solid because all six of its faces are congruent squares.

Q23Written answer

Rectangular prism is also called a ________.

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Worked solution

Solution:-

A rectangular prism is also called a Cuboid.

NCERT Exemplars Class 8 Maths Chapter 6 Image 11

Q24Written answer

In the figure, the number of faces meeting at B is ________.

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Worked solution

Solution:-

The number of faces meeting at B is 4.

Q25Written answer

A pyramid on an n sided polygon has ______ faces.

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Solution:-

A pyramid on an n sided polygon has n+1 faces.

Q26Written answer

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.

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Worked solution

Solution:-

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.

We have,

Euler’s formula for any polyhedron is, F + V – E = 2

Given, F = 12, V = 20

Where, face (F) = 12, Vertex (V) = 20, Edge (E) =?

Then,

12 + 20 – E = 2

32 – E = 2

32 – 2 = E

Edges (E) = 30

NCERT Exemplars Class 8 Maths Chapter 6 Image 12

Q27Written answer

The given net can be folded to make a ______.

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Worked solution

Solution:-

The given net can be folded to make a prism.

NCERT Exemplars Class 8 Maths Chapter 6 Image 13

Q28Written answer

A solid figure with only 1 vertex is a ______.

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Solution:-

A solid figure with only 1 vertex is a cone.

NCERT Exemplars Class 8 Maths Chapter 6 Image 14

Q29Written answer

Total number of faces in a pyramid which has eight edges is______.

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Worked solution

Solution:-

The total number of faces in a pyramid which has eight edges is 5.

NCERT Exemplars Class 8 Maths Chapter 6 Image 15

Q30Written answer

The net of a rectangular prism has ______ rectangles.

(Hint: Every square is a rectangle, but every rectangle is not a square.)

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Worked solution

Solution:-

The net of a rectangular prism has six rectangles.

NCERT Exemplars Class 8 Maths Chapter 6 Image 16