Question

A cube-shaped gift box has a volume of 5.12 cubic inches. What is the side length of the box?

Answer 1

recall that a cube has all equal sides, check the picture below.

`\bf \textit{volume of a cube}\\\\ V=x^3~~ \begin{cases} x=side's~length\\[-0.5em] \hrulefill\\ V=5.12 \end{cases}\implies 5.12=x^3 \\\\\\ \sqrt[3]{5.12}=x\implies 1.72354775\approx x`