Question

A company is moving large equipment in the boxes in the shape of cubes that holds 2000 ft.³ the company needs to move the boxes by placing them on square platforms the square base of the cube must entirely say on the square platform the Square platforms have side lengths that only come in whole foot lengths What is the smallest whole foot length that could be used for the square platforms

Answer 1

Explanation:

Volume of a cube = L³

L is the length of the side of the cube;

Given

L = 2000ft³

Required

smallest whole foot length that could be used for the square platforms

Substitute the given into the formula to get the unknown length L

2000 = L³

Rearrange

L³ = 2000

Take cube root of both sides

∛L³ = ∛2000

L = ∛2000

L = 12.599

L≈ 12.6 feet

Hence the smallest whole foot length that could be used for the square platforms is 12.6feet