# college algebra word problem

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!

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1. let each side of the cut-out square be x in
then isn't the base 24-2x by 24-2x ?
and isn't the height of the box x ?

take it from there.

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posted by Reiny
2. V(x)= x(24-x)^2 ?

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posted by jenny
3. Or V=1/3(24-2x)^2*x

I'm confused as to how you came up with the base as 24-2x.

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posted by jenny
4. draw a square with sides 24 in
draw small square cut-outs 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 24-2x

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posted by Reiny
5. How did you come up with that equation ??

in your first response should have been

V(x)= x(24-2x)^2 ?

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posted by Reiny
6. Okay, I just forgot the 2. Thank you so much for your help! Have a nice day!

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posted by jenny

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