janky

07-17-2011, 05:47 PM

The question I'm stuck on asks:

"An open-top box with a square base is to be constructed using 120 square centimeters of material. What dimensions will produce a box:

a) of volume 100 cubic centimeters

b) with largest possible volume?"

I know area = l*w

and volume = l*w*h

I'm assuming I'll have to get two equations w variables, solve for one variable, substitute it back in, get a quadratic, then graph/solve.

I have no idea where to even begin :(

please help?

"An open-top box with a square base is to be constructed using 120 square centimeters of material. What dimensions will produce a box:

a) of volume 100 cubic centimeters

b) with largest possible volume?"

I know area = l*w

and volume = l*w*h

I'm assuming I'll have to get two equations w variables, solve for one variable, substitute it back in, get a quadratic, then graph/solve.

I have no idea where to even begin :(

please help?