college algebra word problem
posted by jenny .
An open box is made from a square piece of material 24 inches on a side by cutting equal squares from the corners and turning up the sides. Write the Volume V of the box as a function of x. Recall that Volume is the product of length, width, and height.
Thank you!

let each side of the cutout square be x in
then isn't the base 242x by 242x ?
and isn't the height of the box x ?
take it from there. 
V(x)= x(24x)^2 ?

Or V=1/3(242x)^2*x
I'm confused as to how you came up with the base as 242x.
Thanks for your help! 
draw a square with sides 24 in
draw small square cutouts at each of the corners, each of those sides is x inches long.
Now didn't you take away x inches from each end??
so 24  x x or 242x 
How did you come up with that equation ??
Your equation of V(x)= x(24x)^2
in your first response should have been
V(x)= x(242x)^2 ? 
Okay, I just forgot the 2. Thank you so much for your help! Have a nice day!
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