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BOMEz · Answer 1 · 2023-12-28T13:17:19+0000

3,2 inches

Step-by-step explanation

the volume of a cube is given by the expression

$\text{volume}=(side^{})^3$

Step 1

Let

volume = 32,768

Step 2

replace and solve for (side)

$\begin{gathered} \text{volume}=(side)^3 \\ 32,768in^3=(side)^3 \\ \text{cubic root in both sides} \\ \sqrt[3]{32,768}=\sqrt[3]{(side)^3} \\ \\ 3.2=\text{side} \end{gathered}$

Hence, the answer is 3,2 inches

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