A closed box has a square base with side length L feet and height h feet. Given that the volume of the box is 39 cubic feet, express the surface area of the box in terms of L only. Need help please?

1 Answer
May 19, 2017

Answer:

#=(2L^2+156/L )ft^2#

Explanation:

Given that the volume of the box #V=39ft^3#

Again #"volume "V= "area of base"xx"height"=L^2xxh#

So #h=V/L^2=39/L^2#

Now surface area of the box
#S=2(L^2+Lxxh+Lxxh)=2(L^2+2xxLxxh)#

#=2(L^2+2xxLxx39/L^2)#

#=(2L^2+156/L )ft^2#