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Using Euler’S Formula, Find the Unknown. - CBSE Class 8 - Mathematics

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Question

Using Euler’s formula, find the unknown.

Faces ? 5 20
Vertices 6 ? 12
Edges 12 9 ?

Solution

By Euler’s formula, we have

F + V − E = 2

(i) F + 6 − 12 = 2

F − 6 = 2

F = 8

(ii) 5 + V − 9 = 2

V − 4 = 2

V = 6

(iii) 20 + 12 − E = 2

32 − E = 2

E = 30

Thus, the table can be completed as

Faces 8 5 20
Vertices 6 6 12
Edges 12 9 30
  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 10: Visualising Solid Shapes
Ex. 10.30 | Q: 7 | Page no. 167

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Solution Using Euler’S Formula, Find the Unknown. Concept: Faces, Edges and Vertices.
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