Question

A Cube Has A Volume Of 125/8 Cubic Inches. What Is The Edge Length Of The Cube? A. 5/8 In. B. 125/72 In. C. 5/2 In.

Answer 1

`\textit{volume of a cube}\\\\ V=s^3 ~~ \begin{cases} s=\stackrel{edge}{side}\\[-0.5em] \hrulefill\\ V=(125)/(8) \end{cases} \\\\\\ \cfrac{125}{8}=s^3\implies \sqrt[3]{\cfrac{125}{8}}=s\implies \cfrac{\sqrt[3]{125}}{\sqrt[3]{8}}=s\implies \cfrac{5}{2}=s`