Question

The volume of a cube is 512 cubic cm. The length of the side of this cube is?

Answer 1

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HERE IS YOUR ANSWER
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GIVEN :- VOLUME OF CUBE = 512 cubic cm

FIND :- LENGTH OF THE SIDE OF CUBE..

LET THE SIDE OF CUBE BE a ...

WE ALREADY KNOW THAT..

VOLUME OF CUBE = SIDE³

VOLUME OF CUBE = a³

a³ = 512

a³ = 8 × 8 × 8

a³ = 8³

comparing both sides...

we get..

a = 8 cm

HOPE IT HELPS U✌✌

Answer 2

$\boxed{\bold{\large{Answer:}}}$

$\text{The\:volume\:of\:the\:cube\:is\:512cm\:(Given)}$

$\text{Volume\:of\:cube\:=\:a^3}$

$\text{According\:to\:the\:Question}$

${a}^{3} = 512 \\ \\ \implies \: {a}^{3} = 8 \times 8 \times 8 \\ \\ \implies \: {a}^{3} = {8}^{3}$

$\text{From\:the\:Final\:solution\:we\:get.}$

$a \times a \times \times a = 8 \times 8 \times 8 \\ \\ \implies a = 8cm$

$\text{Thus,\:the\:length\:of\:the\:side\:of\:the\:cube\:is\:8cm.}$

$\boxed{\bold{\large{Hope\:it\:helps\:you!}}}$