An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides

Question

Question

An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides

An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides. find the formula that expresses the volume of the box as a function of x.

math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

V=120x-44x2+4x3

answered by: IsThisCorrect

Add a comment

Answer 2

Answer #2

volume = x(12-2x)(10-2x)

expand if needed.

answered by: Emilia

Add a comment

Answer 3

Similar Homework Help Questions

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

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 cut from each corner, x. (b) Find and interpret V (1),V (2),V (3),V (4), and V (5). What is happening to the volume of the box as the length of the side...
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

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!
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure

A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure. If the volume of the box needs to be 126.75 cubic inches, what size square piece of cardboard is needed?

A box is formed by cutting squares from the four corners of a 5-wide by 7-long sheet of paper and folding up the sides.

A box is formed by cutting squares from the four corners of a 5-wide by 7-long sheet of paper and folding up the sides.Let xx represent the length of the side of the square cutout (in inches).Write an expression in terms of xx that represents the width of the base of the box (in inches).Write an expression in terms of xx that represents the length of the base of the box (in inches).Write an expression in terms of xx that...
(1 point) An open box is to be made from a flat piece of material 8...

(1 point) An open box is to be made from a flat piece of material 8 inches long and 3 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume V of the box as a function of x. Leave it as a product of factors, do not multiply out the factors, V(x) = If we write the domain of V(x) as an open interval in the form (a, b),...
A square piece of cardboard is formed into a box by cutting out 3-inch squares from...

A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure. If the volume of the box needs to be 216.75 cubic inches, what size square piece of cardboard is needed? (Round your answers to one decimal place.)

To create an open-top box out of a sheet of cardboard that is 6 inches long...

To create an open-top box out of a sheet of cardboard that is 6 inches long and 5 inches wide, you make a square flap of side length x inches in each corner by cutting along one of the flap's sides and folding along the other. Once you fold up the four sides of the box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the volume of the...
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides

A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that the box has the largest possible volume. Also, find the volume of the box
A Candy box is made from a piece of cardboard that meaasures 11 by 7 inches

A Candy box is made from a piece of cardboard that meaasures 11 by 7 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?

(1 point) A box with an open top is to be constructed from a square piece...

(1 point) A box with an open top is to be constructed from a square piece of cardboard, 18 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume such a box can have. ft3

An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides

Homework Answers

Add Answer to:
An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides

Post as a guest

Earn Coins

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

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

A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure

A box is formed by cutting squares from the four corners of a 5-wide by 7-long sheet of paper and folding up the sides.

(1 point) An open box is to be made from a flat piece of material 8...

A square piece of cardboard is formed into a box by cutting out 3-inch squares from...

To create an open-top box out of a sheet of cardboard that is 6 inches long...

A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides

A Candy box is made from a piece of cardboard that meaasures 11 by 7 inches

(1 point) A box with an open top is to be constructed from a square piece...

An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides

Homework Answers

Add Answer to: An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides

Post as a guest

Earn Coins

Add Answer to:
An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides