SOLUTION: A rectangular box with a volume of 60 ft^3 has a square base. Find a function that models its surface area S in terms of length x of one sides of its base.
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-> SOLUTION: A rectangular box with a volume of 60 ft^3 has a square base. Find a function that models its surface area S in terms of length x of one sides of its base.
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Question 256760: A rectangular box with a volume of 60 ft^3 has a square base. Find a function that models its surface area S in terms of length x of one sides of its base. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! A rectangular box with a volume of 60 ft^3 has a square base. Find a function that models its surface area S in terms of length x of one sides of its base.
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Since the volume is 60 cubic feet:
Let h = height
then
hx^2 = 60
h = 60/x^2
.
Surface area:
"top and bottom" + "four sides"
.
S = 2x^2 + 4xh
substitute h:
S = 2x^2 + 4x(60/x^2)
S = 2x^2 + 240/x
