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.

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.
.
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

RELATED QUESTIONS
A rectangular box with a square base has surface area 52 in2. Find a function that models (answered by josgarithmetic)

An open box with a square base is to have a volume of 12ft^3 Find a function that... (answered by Alan3354,Theo)

please help me with this problem a rectangle box has a square base. its height is... (answered by mananth)

A box, with rectangular sides, base and top is to have a volume of 2 cubic feet. It has a (answered by josmiceli)

A rectangular box with volume 5 cubic metres has a square base with side length x metres. (answered by nyc_function)

A rectangular box with volume 18 cubic metres has a square base with side length x... (answered by ankor@dixie-net.com)

A rectangular box with no top is to have a base with a length that is twice its width and (answered by Big Poop)

An open rectangular box (no top) with volume 6 cubic meters has a square base. Express... (answered by ankor@dixie-net.com)

An open rectangular box with volume 2m^3 has a square base. Express the surface area of... (answered by ewatrrr)