What will be the number of edges if there are $6$ faces and $12$ vertices?

12

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14

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16

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18

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Solution

The correct option is C $16$
Euler's formula
$V - E + F = 2$
$E = V + F - 2$
$E = 12 + 6 - 2 = 16$

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Which of the following statements are true ?
(i) All cubes are cuboids.
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What will be the number of edges if there are 6 faces and 12 vertices?

The correct option is C 16Euler's formula V−E+F=2 E=V+F−2 E=12+6−2=16

What will be the number of edges if there are $6$ faces and $12$ vertices?

The correct option is C $16$
Euler's formula
$V - E + F = 2$
$E = V + F - 2$
$E = 12 + 6 - 2 = 16$