Question

A cube has a volume of 1/512 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your answers as simplified fractions when necessary

Answer 1

1/8 meters

Explanation:

The volume of a cube is given as the cube of the length of its sides. That is:

`V = L^3`

where L = length of its side

The volume of the cube is 1/512 cubic metres.

This implies that:

`(1)/(512) = L^3`

Find the cube root of both sides:

`\sqrt[3]{(1)/(512) } = L\\\\=> L = (1)/(8)` meters

The cube has sides of length 1/8 meters