Question

Find the length of each side odd a cube if it's volume is 512cm³​

Answer 1

Answer:

8 cm.

Step-by-step explanation:

Given :

$\small\bold{Volume \: of \: cube = 512 cm^3}$

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

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

Thus we get length of cube is 8 cm.

Answer 2

$volume \: of \: cube \: = {side}^{3} \\ 512 \: {cm}^{3} = {side}^{3} \\ side = \sqrt[3]{512} = 8 \: cm \\ the \: length \:o f \: side \: is \: 8 \: cm$