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 represents the height of the box (in inches).
Write a formula that expresses the volume of the box in cubic inches, VV, in terms of the cutout length in inches, xx.
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 sheet of paper and folding up the sides. However, the size of the paper is unknown! The function f determines the volume of the box (in cubic inches) given a cutout length (in inches). a. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.4 inches (0.4-2x)*2 Preview b. Use function notation to represent the volume of the...
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. a. Suppose the paper is 9"-wide by 12"-long, i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.) * cubic inches Preview ii. What cutout length produces the maximum volume? - inches Preview b. Suppose we instead create the box from a 7"-wide by 9"-long sheet of paper. i. Estimate the maximum volume for this box?...
Score on last attempt: out of 3 Score in gradebook:1 out of 3 A box is formed by cutting squares from the four corners of a 11"-wide by 13"-long sheet of paper and folding up the sides. Let a represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of z. b. If the cutout length increases...
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?
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. 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.)
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...
A piece of cardboard is 2.7 times as long as it is wide. It is to be made into a box with an open top by cutting 2-inch squares from each comer and folding up the sides, Let x represent the width (in inches) of the original piece of cardboard. Answer the following questions. or Su a) Represent the length of the original piece of cardboard in terms of x Length =□in. (Use integers or decimals for any numbers in...
Jacqueline castoren Home Serie NOME SUTRA Mod 3 Inv 1 - The Box Problem and Modeling Relationships Due Sun 04/26/2020 11:59 pm Score on las atempt: D Score in gradebook D 04 out of 4 04 out of 4 Abox is formed by cutting squares from the four comers of a wide by 9 long sheet of paper and folding up the sides. Lela represent the length of the side of the square cutoutin inches). let w represent the width...
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