SOLUTION: Given the volume of a box equals 72 cubic inches, the height of the box equals the width of the box, and the length is five more than the width, find the height of the box.
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Question 229192: Given the volume of a box equals 72 cubic inches, the height of the box equals the width of the box, and the length is five more than the width, find the height of the box. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Given the volume of a box equals 72 cubic inches, the height of the box equals the width of the box, and the length is five more than the width,
find the height of the box.
:
Let x = the width and the height
and
5x = the length
:
Volume = L * W * H = 72 cu/in
:
5x * x * x = 72
5x^3 = 72
x^3 =
x^3 = 14,4
x =
x ~ 2.4329 inches is the height
;
:
Check solution on a calc: enter 2.4329 * 2.4329 * 5(2.4329) = 72.00
