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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Tim bought 128 sandbags to completely fill a cube-shaped sandbox. Each bag fills a cubic foot in the sandbox. What is the length in feet of one of the sides of the sandbox?       Log On


   

Question 1137762: Tim bought 128 sandbags to completely fill a cube-shaped sandbox. Each bag fills a cubic foot in the sandbox. What is the length in feet of one of the sides of the sandbox?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

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

128 sandbags, each bag fills a cubic+foot=> total of 128ft%5E3+
so, we know that the volume+is 128ft%5E3, and we also know the box is a cube

=> volume+=+side+%2A+side+%2A+side+=+side%5E3
side%5E3=128ft%5E3+
side=root%283%2C128%29
side=root%283%2C64%2A2%29
side=root%283%2C4%5E3%2A2%29
side=4root%283%2C2%29=>exact solution
side=5.04ft->approximate solution