A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting...
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.)
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 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
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.)...
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 packaging company is going to make open-topped boxes, with square bases, that hold 140 cubic centimeters. What are the dimensions of the box that can be built with the least material? (Round your answers to the nearest hundredth.) cm (smallest value) cm cm (largest value)
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 graphing calculator is recommended. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 30 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure). 30 in. х x х 14 in. х х х х (a) Find a function that models the volume V of the box. V(x) (b) Find the values...
i need help with number 3&4 and the answer is in red i just need to know how to work the problem (a) y (b) y=-x3 + 6x2-9x + 3 2. The sum of two nonnegative numbers is 36 (a) Find the two numbers if the differ ence of their square roots is to be as large as possible. 0 and 36 (b) Find the two numbers if the sum of their square roots is to be as large as...