Question

Find the side length of a cube with a volume of 69cm^3. If necessary, round your answer to the nearest tenth

Answer 1

4.1 centimeters

Explanation:

The volume of a cube can be found using the following formula.

`V=s^3`

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

`69 cm^3=s^3`

We want to find out what s (side length) is. Therefore, we must get s 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}`

`\sqrt[3]{69 cm^3}=s`

`4.10156593 cm=s`

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.

`4.1 cm=s`

The side length of the cube is 4.1 centimeters.