Question

• The volume of a cube is 17 cubic inches. What expression represents the length of one side of the cube?

(remember the cube problem from the review yesterday!)
If the volume of a cube is an integer value of cubic inches, when will the length of one side of the cube be
irrational?

Answer 1

Explanation:

The volume of a cube is 17 cubic inches.

The formula used to find the volume of a cube is given by :

`V=x^3`

x is the side of the cube

`x=(V)^(1/3)\\\\x=(17)^(1/3)\\\\x=2.57\ \text{inches}`

The fraction that cannot be written in the form of p/q is irrational no. If the cube root a number is not possible, then the length is considered to be irrational.