Question

The volume of a cubic cardboard box is 125/8 ft3.

The length of each side of the cardboard box is______

ft.

Answer 1

5/2 ft

Explanation:

The volume of a cube is calculated by the following formula.

Rewrite the formula in terms of the side, as shown.

It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.

Therefore, the length of each side of the cardboard box is 2.5 ft.

Answer 2

The answer is

`(5)/(2) \: \: \: feet \\`

Explanation:

Since the cardboard box is a cube all it's sides are equal

Volume(V) of a cube = l³

where l is the length of one side

From the question

`V = (125)/(8) \: {ft}^(3)`

The length of each side of the cardboard box is

`{l}^(3) = (125)/(8) \\ \sqrt[3]{ {l}^(3) } = \sqrt[3]{ (125)/(8) } \\ l = (5)/(2)`

We have the final answer as

`(5)/(2) \: \: \: feet \\`

Hope this helps you