Question

The volume of a cubical box is 32.768 m^3. find the length of its side.

Answer 1

Hey

Here is your answer,

Volume of cube = (side) ^3
Volume of cube = 32.768 m^3

Let us now equate both the formula and value.

(Side)^3 = 32.768
Side = 3.2 x 3.2 x 3.2
Side = 3.2 m

Hope it helps you!

Answer 2

Let the side be (s)
Volume of box   = 32.768 m³
(length of side)³ =  32.768 m³
                 (s)³     = 32.768 m³
                  s        = ∛32.768 m³
                  s        = 3.2 m

Therefore each side of the cuboidal box will be 3.2 m