If the sum of all the edges of a cube is 36 cm, then the volume $(i n c m^{3})$ of that cube is

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219

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729

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Solution

The correct option is B
27

$Sum of all edges of a cube = 36 c m$

$No. of edge of a cube =12$

$∴ Length of its one edge = \frac{36}{12} = 3 c m$

$Then volume = (e d g e)^{3} = (3)^{3} c m^{3}$

$= 27 c m^{3}$

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729 {cm}^{3}

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