CTET 2 Math and Science 21 Jan 2024 Paper

Question : 31 of 150

Marks: +1, -0

The number of vertices (V), edges (E) and faces (F) of a polyhedron are respectively 10, 15 and x. Then, the value of (3x - 12) is:

Solution:

Given that

V=10

and

E=15

, we can substitute these values into Euler's formula to solve for

F

\;10-15+x=2

\;x-5=2

\;x=2+5

\;x=7

3 x-12

, we substitute

x=7

into the expression:

\;3 x-12=3(7)-12

\;=21-12

\;=9

So,

3 x-12

equals 9 .

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