What are the dimensions of a cube with the same volume?

Question

A right rectangular prism measures 9 in. X 8 in. X 24 in. 

Answer 1

A cube has sides of equal length.  The volume of a cube is the side length cubed.  A rectangular prism has a volume that is length times width time height.

 

Let x = the side length of the cube

 

Using this variable, set up an equation that show that the volume of the cube has the same volume as the rectangular prism.

 

 

x³ = 9 * 8 * 24

 

 

Solve for x from this equation.