Question

An aquarium is in the shape of a cube. the aquarium can hold between 3375 cubic inches and 5832 cubic inches of water. what are the possible side lengths of the aquarium?

Answer 1

The volume for a cube is one of the sides put to the power of 3 because the normal volume equation is V=lwh, and the length and width and height are all the same in a cube.

To deconstruct this equation and find the side length from the volume, we’d just third root the volume. The third root of 3375 is 15 and the third root of 5,832 is 18, so the possible side lengths could be 15 and 18 inches.

Answer 2

the possible side lengths of the aquarium are 15 inches and 18 inches

Explanation:

The way to solve for the possible lengths is to find find the formula for the volume of a cube as a function of the side of the cube.

given that the volume v of a cube with side s may be expressed mathematically as

v = s^3, then

s = ∛v

If aquarium can hold between 3375 cubic inches and 5832 cubic inches of water, then

s = ∛3375 or

s = ∛5832

s = 15 or 18