SOLUTION: What is the ratio of the volume of a cube with edge length six inches to the volume of a cube with edge length one foot? Express your answer as a common fraction.

Algebra ->  Volume -> SOLUTION: What is the ratio of the volume of a cube with edge length six inches to the volume of a cube with edge length one foot? Express your answer as a common fraction.       Log On


   

Question 233612: What is the ratio of the volume of a cube with edge length six inches to the volume of a cube with edge length one foot? Express your answer as a common fraction.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the 6-inch cube is:
V%5B6%5D+=+6%5E3
The volume of the 1 foot (12-inch) cube is:
V%5B12%5D+=+12%5E3
The ratio is:
V%5B6%5D%2FV%5B12%5D+=+6%5E3%2F12%5E3=216%2F1728+=+1%2F8