Answer:
4.1 centimeters
Step-by-step explanation:
The volume of a cube can be found using the following formula.

We know that the volume of the cube is 69 cm^3, therefore we can substitute 69 cm^3 in for V (volume).

We want to find out what<em> s</em> (side length) is. Therefore, we must get<em> s </em>by itself.
s is being cubed. The inverse of a cube is the cube root. Take the cubed root of both sides.
![\sqrt[3]{69 cm^3} =\sqrt[3]{s^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B69%20cm%5E3%7D%20%3D%5Csqrt%5B3%5D%7Bs%5E3%7D)
![\sqrt[3]{69 cm^3}=s](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B69%20cm%5E3%7D%3Ds)

The question tell us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 1 in the tenth place.

The side length of the cube is 4.1 centimeters.