If the volume of a cube is $1728$ $c m^{3}$ , the length of its edge is equal to:

12

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14

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16

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24

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Solution

The correct option is A $12$ cm
Given, volume of cube $= 1728 c m^{3}$ .

Let $l$ be the side of the cube.

$∴$ Volume of the cube $= l^{3}$
$⟹ l^{3} = 1728 c m^{3}$
$⟹ l = \sqrt[3]{1728}$
$⟹ l = 12$ cm.

Hence, option $A$ is correct.

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