SOLUTION: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 15 inches by 30 inches by cutting out equal squares of side x at each corner and t

Question 156656: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 15 inches by 30 inches by cutting out equal squares of side x at each corner and then folding up the sides
So I have to find the volume when l=30-2x, w=15-2x and h=x
I tried to multiply everything out and got 4x^3-60x^2+450x... but got stuck... not sure wether doing that was right and if so how to continue - looked at taking x out, but still ended up in a big mess - could someone do a step by step breakdown please?

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
it looks like you might have skipped a term...

FOILing l & w gives __ 450-60x-30x+4x^2 __ 4x^2-90x+450

distributing h gives __ 4x^3-90x^2+450x
RELATED QUESTIONS
A box with an open top is constructed from a rectangular piece of cardboard which is... (answered by ankor@dixie-net.com)

A rectangular box open at the top is to be from a rectangular piece of cardboard 3 inches (answered by Boreal)

A box with an open top is to be constructed from a rectangular piece of cardboard with... (answered by ankor@dixie-net.com)

A box with an open top is to be constructed from a rectangular piece of cardboard with... (answered by ankor@dixie-net.com,nyc_function)

A box with an open top is formed by cutting squares out of the corners of a rectangular... (answered by ankor@dixie-net.com)

A box with an open top is to be constructed from a rectangular piece of a cardboard with... (answered by Cromlix)

A box with an open top is to be constructed from a rectangular piece of cardboard with... (answered by oberobic)

A box with an open top is to be constructed from a rectangular piece of cardboard with... (answered by checkley77)

A box with an open top is to be constructed from a rectangular piece of cardboard with... (answered by neatmath)