3,2 inches
Explanation
the volume of a cube is given by the expression
[tex]\text{volume}=(side^{})^3[/tex]Step 1
Let
volume = 32,768
Step 2
replace and solve for (side)
[tex]\begin{gathered} \text{volume}=(side)^3 \\ 32,768in^3=(side)^3 \\ \text{cubic root in both sides} \\ \sqrt[3]{32,768}=\sqrt[3]{(side)^3} \\ \\ 3.2=\text{side} \end{gathered}[/tex]Hence, the answer is 3,2 inches
