Exercise 19.2 of Chapter 19 deals with the visualisation of 3D shapes through nets. The problems are solved in a simple and precise manner by the subject experts at BYJU’S. The solutions are designed step-wise as per the marks allotted to each step in the exam, so following the steps is a must. Students can achieve their goals only by practising regularly. RD Sharma Class 8 Solutions, which are very useful study materials, help students with their exam preparation. The PDF can be downloaded from the available links mentioned below.
RD Sharma Solutions for Class 8 Maths Exercise 19.2 Chapter 19 Visualising Shapes
Solution:
Figure (iv), (v), (vi) are the nets for a cube.
2. Name the polyhedron that can be made by folding each net:
Solution:
(i) From figure (i), a Square pyramid can be made by folding each net.
(ii) From figure (ii), a Triangular prism can be made by folding each net.
(iii) From figure (iii), a Triangular prism can be made by folding each net.
(iv) From figure (iv), a Hexagonal prism can be made by folding each net.
(v) From figure (v), a Hexagonal pyramid can be made by folding each net.
(vi) From figure (vi), a Cuboid can be made by folding each net.
3. Dice are cubes where the numbers on the opposite faces must total 7. Which of the following are dice?
Solution:
Figure (i), is a dice. Since the sum of numbers on opposite faces is 7 (3 + 4 = 7 and 6 + 1 = 7).
4. Draw nets for each of the following polyhedrons:
Solution:
(i) The net pattern for cube is
(ii) The pattern for triangular prism is
(iii) The net pattern for hexagonal prism is
(iv) The net pattern for pentagonal pyramid is
5. Match the following figures:
Solution:
(a)-(iv) Because multiplication of numbers on adjacent faces are equal, where 6×4 = 24 and 4×4 = 16
(b)-(i) Because multiplication of numbers on adjacent faces are equal, where 3×3 = 9 and 8×3 = 24
(c)-(ii) Because multiplication of numbers on adjacent faces are equal, where 6×4 = 24 and 6×3 = 18
(d)-(iii) Because multiplication of numbers on adjacent faces are equal, where 3×3 = 9 and 3×9 = 27
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