A box with an open top is constructed from a rectangular piece of cardboard which is initially 20 inches long and 16 inches wide. The box will be formed by removing squares of length x inches from each corner and then folding up the sides (as shown below). Express the volume (V) of the box as a function of x.

V(x)=

Question

A box with an open top is constructed from a rectangular piece of cardboard which is initially 20 inches long and 16 inches wide. The box will be formed by removing squares of length x inches from each corner and then folding up the sides (as shown below). Express the volume (V) of the box as a function of x.

V(x)=

nikita2 · Answer

pic pleas

anonymous · Answer

attachment

anonymous · Answer

pictures are worth a thosand words~
(if there is anything unclear, let me know)

anonymous · Answer

oh ok, i forgot to take out the fact that they were folding the little boxes because originally i had only put 320x.. thanks!

anonymous · Answer

hey i tried that answer and it said it was incorrect? any other suggestions?

anonymous · Answer

$$4x^{3}-72x^{2}-320x$$
didnt work? hmmm, maybe try putting it in without multiplying it out:
$$(16-2x)(20-2x)(x)$$

anonymous · Answer

okay. one second.

anonymous · Answer

yepp that worked!