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 126.75 cubic inches, what size square piece of cardboard is needed?
A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of the corners, shown blue in the left figure, and folding up the sides. The finished box is the right picture. What is the largest volume box the company can make this way? (Round your answer to one decimal place.) in3 A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of...
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...
please help asap This Question: 4 pts 2 of 5 (1 complete) A box (with no top) will be made by cutting squares of equal size out of the corners of a 40 inch by 53 inch rectangular piece of cardboard, then folding the side flaps up. Find the maximum volume of such a box. ROUND TO THE NEAREST CUBIC INCH. The maximum volume is cubic inches Enter your answer in the answer box.
17-1 A lidless, rectangular box is to be manufac- tured from 30- by 40-inch cardboard stock sheets by cutting squares from the four corners, folding siz 17- pro eve up ends and sides, and joining with heavy tape. The designer wishes to choose box dimensions the set that maximize volume. est (a) Formulate this design problem as a con- strained NLP. (b) Use class optimization software to start from a feasible solution and compute at least a local optimum 17-1...
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...
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...
You are planning to make an open rectangular box from a 40-in.-by-79-in. piece of cardboard by cutting congruent squares from the comers and folding up the sides. What are the dimensions of the box of largest volume you can make this way, and what is its volume? arate answers as needed) The dimensions of box of maximum volume are (Round to the nearest hundredth as needed. Use a The maximum volume is 01 (Round to the nearest hundredth as 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 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...