# Math Help - Maximum volume of a box.

1. ## Maximum volume of a box.

Find the max volume of a box with a square base if you have 1200 sq. ft. of material for sides and a bottom (assuming open top).

I'm screwing up somewhere but I can't figure out where. V= x^2*y and then your y= (1200-x^2)/4y

I get x= 60 ft but that is off. Can you give me a hand?

2. Originally Posted by MrJoe2000
Along the same lines...

Find the max volume of a box with a square base if you have 1200 sq. ft. of material for sides and a bottom (assuming open top).

I'm screwing up somewhere but I can't figure out where. V= x^2*y and then your y= (1200-x^2)/4y
??? What? you can't replace y with something that depends on y! $y= \frac{\sqrt{1200- x^2}}{2}$

I get x= 60 ft but that is off. Can you give me a hand?

3. My apologies, the equation for y turned out to be y= (1200-x^2)/4x

I'm still not sure where I'm screwing up here.