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Visualising Solid Shapes (Exercise 19.1) RD Sharma Solutions | Mathematics (Maths) Class 7 PDF Download

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Q u e s t i o n : 1
Complete the following table and verify Euler's formula in each case.
 
 
Faces
(F)
6 4 9 7
Edges
(E)
12 6 16 15
Vertex
(V)
8 4 9 10
S o l u t i o n :
 I  II III IV
Faces (F) 6 4 9 7
Edges (E) 12 6 16 15
Vertices (V) 8 4 9 10
Euler's formula (F - E
+ V)
6 - 12 + 8
= 2
4 - 6 + 4
= 2
9 - 16 + 9
= 2
7 - 15 + 10
= 2
Hence Euler's formula is verified for these figures.
Q u e s t i o n : 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.
S o l u t i o n :
 Examples of
(i) Cone: Ice-cream cone, clown cap, rocket
(ii) Sphere: Football, a round apple, an orange
(iii) Cuboid: book, brick, duster
(iv) Cylinder: circular pipe, glass, circular pole
(v) Christmas decorations, cheese and patio umbrellas.
      
  
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