Question

The volume of this cube is 125 cubic millimeters. What is the value of s?

Answer 1

`s=5mm`

1) Since the volume of a cube is given by the following formula:

`V=s^3`

2) Therefore, we can write the following:

`\begin{gathered} 125=s^3 \\ \\ s^3=125 \\ \\ \sqrt[3]{s^3}=\sqrt[3]{125} \\ \\ s=5\:mm \end{gathered}`

Thus, the side length is 5 mm.