# college algebra word problem

posted by .

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!

• college algebra word problem -

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.

• college algebra word problem -

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

• college algebra word problem -

Or V=1/3(24-2x)^2*x

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

• college algebra word problem -

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

• college algebra word problem -

How did you come up with that equation ??

in your first response should have been

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

• college algebra word problem -

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

## Similar Questions

1. ### calculus

An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares from the corners and turning up the sides to make the box. (a) Express the volume V of the box as a function …
2. ### Calculus

A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 cm on the side, find the size of the squares that must …
3. ### college algebra

An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the square …
4. ### MATH

Hi, Please help me find: V, a, and b. Ty An open box is to be made from a flat piece of material 8 inches long and 2 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume V of …
5. ### Math (Word Problem)

An open gift box is to be made from a square piece of material by cutting four-centimeter squares from the corners and turning up the sides. The volume of the finished box is to be 576 cubic centimeters. How to find the size of the …
6. ### Math

An open box is to be made from a flat piece of material 9 inches long and 6 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a …
7. ### math- 165 calculas

An open box is to be made from a eighteen-inch by eighteen-inch square piece of material by cutting equal squares from the corners and turning up the sides (see figure). Find the volume of the largest box that can be made. figure ( …
8. ### Mathematics

An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square …
9. ### Calculus

An open box is to be made from a rectangular piece of material by cutting equal squares of length x from each corner and turning up the sides. If the material is 18 inches long and 12 inches wide. What is the volume of the box as a …
10. ### Math

An open box is formed from a piece of cardboard 12 inches square by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made. Help!

More Similar Questions

Post a New Question