SOLUTION: an open-top box with a square base is to have a volume of 900 cubic feet.express the surface area of the box as a function of the length of one of the sides of the base?

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Question 652470: an open-top box with a square base is to have a volume of 900 cubic feet.express the surface area of the box as a function of the length of one of the sides of the base?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
an open-top box with a square base is to have a volume of 900 cubic feet.
express the surface area of the box as a function of the length of one of the sides of the base?
:
let x = length of one side of the base
let h = the height of the box
:
Find h in terms of x
x^2 * h = 900 cu ft
h = 900%2Fx%5E2
:
Surface area:
SA = x^2 + 4(xh)
replace h with 900%2Fx%5E2
SA = x^2 + 4(x*900%2Fx%5E2)
Cancel x
SA = x^2 + 4(900%2Fx)
SA = x^2 + 3600%2Fx