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Class 8 RD Sharma Solutions – Chapter 19 Visualising Shapes – Exercise 19.2

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  • Last Updated : 07 Nov, 2021
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Question 1. Which of the following are nets for a cube?

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

Solution:

Diagram (iv), (v), (vi) are the nets for a cube.

Question 2. Name the polyhedron that can be made by folding each net:

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

Solution:

(i) By folding each net a square pyramid can be formed.

(ii) By folding each net a triangular prism can be formed.

(iii) By folding each net a triangular prism can be formed.

(iv) By folding each net a hexagonal prism can be formed.

(v) By folding each net a hexagonal prism can be formed.

(vi) By folding each net a Cuboid can be formed.

Question 3. Dice are cubes where the numbers on the opposite faces must total 7. Which of the following are dice?

Solution:

The Figure (i) form a dice and the total sum of numbers on opposite faces is 7.

Question 4. Draw nets for each of the following polyhedrons:

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

Solution:

(i) Below image shows the net pattern for cube.

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

(ii) Below image shows the pattern for triangular prism.

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

(iii) Below image shows the net pattern for hexagonal prism.

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

(iv) Below image shows the net pattern for pentagonal pyramid.

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

Question 5. Match the following figures:

Class 8 RD Sharma Chapter 19 Exercise 19.2 Solutions

Solution:

(a) ⇒ (iv) 

Here, the multiplication of numbers on adjacent faces are equal, i.e., 6×4 = 24 and 4×4 = 16

(b) ⇒ (i) 

Here, the multiplication of numbers on adjacent faces are equal, i.e., 3×3 = 9 and 8×3 = 24

(c) ⇒ (ii) 

Here, the multiplication of numbers on adjacent faces are equal, i.e., 6×4 = 24 and 6×3 = 18

(d) ⇒ (iii) 

Here, the multiplication of numbers on adjacent faces are equal, i.e., 3×3 = 9 and 3×9 = 7

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