Question

What is the volume of nature cube ofn32, 768 in3 what is the length of one side I need to show work

Answer 1

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