# Mathematics

Squares of side a are cut from each corner of a 8 in X 6 in rectangle so that it's sides can be folded to make a . Represent function in terms of a that can be define the volume of the box

1. 👍
2. 👎
3. 👁
1. v = x(8-2x)(6-2x)

1. 👍
2. 👎
👤
oobleck

## Similar Questions

1. ### Calculus 1

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the

2. ### Math

Squares of side a are cut from each corner of a 8 in x6 in rectangle, so that its sides can be folded to make a box with no top. Represent a function in terms of a that can define the volume of the box

3. ### Math

A cardboard manufacturer wishes to make open boxes from square pieces of cardboard of side 12 in. by cutting equal squares from the four corners and turning up the sides. Let x inches be the length of the side of the the square to

4. ### Math

A manufacturer uses a 28 x 41 metal sheet to construct an open box by cutting out squares from each corner. What length square should be cut to maximize volume?

1. ### 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

2. ### Math

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in by 12 in by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the

3. ### math

An open box is made from a rectangular piece of cardboard measuring 16 cm by 10cm. Four equal squares are to be cut from each corner and flaps folded up. Find the length of the side of the square which makes the volume of the box

4. ### Pre-calculus

A square of size x inches is cut out of each corner of an 8in by 12in piece of cardboard, and the sides are folded up to form an open-topped box. Determine the dimensions of the cut-out squares that will produce the box of maximum

1. ### Math

From an 8 inch by 10 inch rectangular sheet of paper, squares of equal size will be cut from each corner. The flaps will then be folded up to form an open-topped box. Find the maximum possible volume of the box.

2. ### math

A square piece of cardboard is to be used to form a box without a top by cutting off squares, 5cm on a side, from each corner and then folding up the sides. if the volume of the box must be 320 sq. sm, what must be the length of a

3. ### math

A rectangular box is built by cutting out square corners from a 9" by 11" piece of cardboard, then folding the resulting flaps up to form the height. Let x represent the sides of the square corners being cut out. Express the

4. ### 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