# Pre Cal

posted by .

An open box is formed from an 80cm by 80cm peice of metal by cutting four identical squares from the corners and folding up the sides. Express the volume of the box in terms of x. Then describe how you could find the maximum possible volume.

• Pre Cal -

The height of the box becomes x, and each side is reduced by 2x. Therefore the volume is given by V = x(80-2x)(80-2x) because the original length and width are both 80.

• Pre Cal -

40

• Cal -

An open box is to be made from a flat piece of material 11 inches long and 5 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 product of factors, do not multiply out the factors.

## Similar Questions

1. ### math

open top rectangular box made from 35 x 35 inch piece of sheet metal by cutting out equal size squares from the corners and folding up the sides. what size squares should be removed to produce box with maximum volume.
2. ### Pre Calc

an open box is to be formed by cutting squares from a square sheet of metal that is 10 cm on a side and then folding up the sides. What i the maximum volume of the box?
3. ### Math

An open box is to be made from a 10-ft by 14-ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and folding up the sides. what size squares should be cut to obtain a box with largest possible …
4. ### Calculus

A square sheet of cardboard with a side 16 inches is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares should be cut from the corners to obtain a box with largest …
5. ### pre-calc

A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares. Determine …
6. ### 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 …
7. ### Pre Calculus

A piece of cardboard measuring 13 inches by 11 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. a. Find a formula for the volume of the box in terms of x b. Find …
8. ### Math

An open box , no more than 5 cm in height, is to be formed by cutting four identical squares from the corners of a sheet metal 25 cm by 32 cm, and folding up the metal to form sides.The capacity of the box must be 1575 (cm squared). …
9. ### Math

An open box, no more than 5 cm in height, is to be formed by cutting four identical squares from the corners of a sheet of metal 25 cm by 32 cm, and folding up the metal to form sides. The capacity of the box must be 1575 cm^3. What …
10. ### Pre Cal 12

A 12cm by 8cm rectangular piece of metal is to be made into an open-top box by cutting a sqaure from corner and folding up the resulting flaps (sides). If the volume of the lidless box is 36 cm what are the integer dimensions of the …

More Similar Questions