Question

Find the length of each side of a cube if its volume is 512 cm3

Answer 1

Step-by-step explanation:

$Volume \: of \: a \: cube \: = {side}^{3} \\ 512 = {side}^{3} \\ {8}^{3} = {side}^{3} \\ 8 \: = \: side \: \\ hence \: the \: side \: of \: cube \: is \: 8 \: cm.$

Answer 2

Answer:

8 cm.

Step-by-step explanation:

Given  :

Volume of cube = 512 $cm^3$

We have to find length of cube.

Let length of x cm.

We know formula of volume of cube

$\large \text{volume of cube = a^3 }$

Now put value here we get

$\large \text{volume of cube = a^3 }\\\\\\\large 512= x^3\\\\\\\\large \text{Rewrite 512 as 8^3 }\\\\\\\large 8^3= x^3\\\\\\\Large \text{ 8^{3\times\frac{1}{3} }= x }\\\\\\\large x=8 \ cm$

Thus we get length of cube is 8 cm.