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The length of the each side of the cube if the volume is $512 c m 3$ is ____.

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Detailed Solution

The length of the each side of the cube if the volume is

512 cm^{3}

is 8 cm.
It is given that, the volume is

512 c m 3

.
Volume of the cube

= a 3

.
So,

a 3 = 512

Taking cube root on both sides,

\sqrt[3]{a} = \sqrt[3]{512}

\sqrt[3]{a} = \sqrt[3]{8^{3}}

= 8
Hence, the length of the side is

8

cm.

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