Question

n 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 cube could be 15 inches or 18 inches.

The volume of a cube is given by the formula V = s³.  Taking the cubed root of each possible volume, we get 15 for the lower end or 18 for the higher.

Answer 2

We know that

[volume of a cube]=b³------------> b=∛V
where
b is the side length of the cube

for V= 3375 in³
 b=∛V------>  b=∛3375---------> 15 in

for V= 5832 in³
 b=∛V------>  b=∛5832---------> 18 in

the answer is
the possible side lengths of the aquarium is between 15 in and 18 in