Question

A cube-shaped packing box can hold 729 cubic inches of packing material. Solve 729 = s to find the

length of one side of the box.​

Answer 1

The length of each side of the box = 9 inches.

Explanation:

Here, the volume of the given packing box = 729 cubic inches

Let us assume the length of 1 side of box = s inches

Also, VOLUME OF CUBE =
`(side)^3`

`\implies 729 =(s)^3\\\implies  s = \sqrt[3]{729}  =   \sqrt[3]{(9)^3}  = 9\\\implies s = 9`

Hence the length of each side of the box = 9 inches.