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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asked by jenny
  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.
    Thanks for your help!

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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 ??

    Your equation of V(x)= x(24-x)^2
    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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