Tim bought 128 sandbags to completely fill a cube-shaped sandbox. Each bag fills a cubic foot. What is the length, in feet, of one of the sides of the sandbox?

Question

The answer choices are: √128, 3√128, 128^2, 

128^3

Answer 1

We are told that the box is a cube, meaning all sides are equal.

 

We know that the volume is 128 cubic feet.

 

The volume of a cube is equal to side * side * side = side^3

 

So-----one side is the cube root of 128.   (the answers given do not include this-----perhaps 3√128 should have been written as ³√128

 

√ = square root

 

³√ = cube root

 

⁴√ = fourth root

 

etc