In this exercise, students shall study about faces, edges and vertices of three-dimensional figures and applications of Euler’s formula. The RD Sharma Solutions for Class 7 are prepared by the subject experts at BYJU’S. These solutions are the best reference materials to prepare for exams and also help students to write accurate answers to score well. Students can download the PDF from the links given below.
RD Sharma Solutions for Class 7 Maths Chapter 19 – Visualising Solid Shapes Exercise 19.1
Access answers to Maths RD Sharma Solutions for Class 7 Chapter 19 – Visualising Solid Shapes Exercise 19.1
1. Complete the following table and verify Euler’s formula in each case.
Solution:
(i) We know that Euler’s formula is (F – E + V)
(F – E + V) = (6 – 12 + 8) = 2
Hence, Euler’s formula is verified.
(ii) We know that Euler’s formula is (F – E + V)
(F – E + V) = (4 – E + 4) = 2.
E = 6
Hence, Euler’s formula is verified.
(iii) We know that Euler’s formula is (F – E + V)
From the figure,
(F – E + V) = (9 – 16 + 9) = 2.
Hence, Euler’s formula is verified.
(iv) We know that Euler’s formula is (F – E + V)
From the figure,
(F – E + V) = (7 – 15 + 10) = 2.
Hence, Euler’s formula is verified.
2. Give three examples from our daily life which are in the form of
(i) A cone
(ii) A sphere
(iii) A cuboid
(iv) A cylinder
(v) A pyramid.
Solution:
(i) Examples for Cone: Ice-cream cone, birthday cap
(ii) Examples of Sphere: Football, a round apple, an orange
(iii) Examples of Cuboid: dice, duster, book, rectangular box
(iv) Examples of Cylinder: circular pipe, glass, circular pole, gas cylinder
(v) Examples for Pyramid: Christmas tree, prism
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