A cubic box is completely filled with 3,375.0 kg of water. What is the length of one side of the box, in meters?

Question

What would be the length of one side of the box, in meters?

Answer 1

For a box that is an exact cube with a full-capacity water load equal to 3375 kilograms, 

one would write the density (or mass per unit volume) of water, given by one 

online source as 997 kilograms per cubic meter. Then divide:

3375 kg

--------------- . 

997 kg/m³

This gives a quotient or box volume of 3.385155466 m³.

Then find the cube root of 3.385155466 m³ to gain the length (as well as width and height) 

of the cube as 1.501503007 meters.