a rectangular box with a square base is shown below if the v

a rectangular box with a square base is shown below. if the volume of the box is 256 cubic feet and the height of the box is one half the length of the side of the base, find the height of the box.

Solution

Let x = the side of the square base
then
.5x = the height of the box
:
x * x * .5x = 256
:
.5x^3 = 256
Mult equation by 2
x^3 = 512
If you don\'t know the cube root of 512, use a calc, 512^(1/3)
x = 8
the
height = 4 ft
:
:
Check solution: 8 * 8* * 4 = 256