If the volume of a cube-shaped box is 729 cubic inches, which equation would you use to determine how many 1-inch cubes could fit along one side?

Answer

∛729

Explanation

The volume of an object is the amount of space that the object can occupy.

The general formula for getting the volume of a regular object is:

Volume  = Base area × Height

For a cube, all sides are equal.

∴ Volume of a cube = length × length × length

                                   = (length)³

This means given the volume of a cube we can get the length of one side as shown.

Volume = (length)³

length = ∛volume.

∴ Volume = 729 in³

Length = ∛729 inches. This will give you the number of cubes 1 inches can fit along one side.