Thread: Finding the Volume

Hello,

Can someone please help me figure out this problem? I've attached the picture on the bottom.

Problem: A box with an open top is to be constructed from a regular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

Originally Posted by l flipboi l

Hello,

Can someone please help me figure out this problem? I've attached the picture on the bottom.

Problem: A box with an open top is to be constructed from a regular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

So, what exactly are you having trouble with here? Note that

$\displaystyle l=20-2x$

$\displaystyle w=12-2x$ and

$\displaystyle h=x$

Great, Thanks! I was having a hard time starting the problem.