SOLUTION: 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 h
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Question 205665: 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. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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.
:
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
