Question

The volume of a cube is 3375 cubic inches. what is the measure of each side of the cube

Answer 1

The measure of each side of the cube is

15 inches

Explanation:

Since it's a cube all it's sides are equal

To find the length of each side we use the formula

Volume of a cube = l³

where l is the measure of one side

From the question

Volume = 3375 cubic inches

Substitute this value into the formula and solve for l

That's

`{l}^(3) = 3375`

Find the cube root of both sides

That's

`\sqrt[3]{ {l}^(3) } = \sqrt[3]{3375}`

We have the final answer as

l = 15 inches

Hope this helps you