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Please answer with work Solve the problem. 19) From a thin piece of cardboard 30 in....
This is the problem. It should be easy but I just can't figure itout.Form a thin piece of cardboard 30x30 square corners are cut out sothat the sides can be folded up to make a box. What dimensions willyeild a box of maximumvolume?so far i have v = (30-2X)(30-2X)(X)and SA = 900-4x2
not sure if in right area but can someone help me with this problem An open box is to be constructed from a piece of cardboard that is 30in. by 30in. by cutting a square out of each corner and folding up the sides. What are the dimensions of the box that will yield the maximum volume? so confused thanks
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?
From a 10-inch-by-19-inch piece of cardboard, 3-inch-square corners are cut out, as shown in the figure above, and the resulting flaps are folded up to form an open box. Find the surface area and volume of the open box
you want to make an open-topped box from a 20 cm by 20 cm piece of cardboard by cutting out equal squares from the corners and folding up the flaps to make the sides. what are the dimensions of each square, to the nearest hundredth of a cm, so that the volume of the resulting box will be more than 100 cubic centimeters.
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
I. 9. Corners are cut from a 30 cm by 20 cm piece of cardboard. The volume is given in terms of the size of the square cut out, by V(x) = x(30 - 2x)(20 - 2x) where the height is x. a) Calculate the volume when the height is 2 cm. A/C-3 Marks! b) Calculate the dimensions of a box with volume 1000 cm
Suppose you take a piece of cardboard measuring 7 inches by 7 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.
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.)...
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.)