Question

The volume of the cubic box is 10 exponent 6 cubic millimeters. How long is each side of the box (Hint:Length,width,and height are all equal.)

Answer 1

One side is 100 millimeters long

Explanation:

Volume for a cube of side s is
`V = s^3`. We are given that
`V = 10^6` from which we can deduce:
`V = 10^6=(10^2)^3\implies s=10^2=100`

Answer 2

100 millimeters.

Explanation:

Let x represent each side of box.

We have been given that the volume of the cubic box is
`10^6` cubic millimeters. We are asked to find the length of each side of the box.

We know that each side of cube has equal measure and volume of a cube is cube of each side.

We can represent this information in an equation as:

`x^3=10^6`

`x^3=1,000,000`

Upon taking cube root of both sides, we will get:

`\sqrt[3]{x^3} =\sqrt[3]{1,000,000}`

`x=100`

Therefore, each side of box is 100 millimeters long.