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13 Nov 2019
2) A box with an open top is to be constructed from a square piece of cardboard of 4ft by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have
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Deanna Hettinger
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29 Oct 2019
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Related questions
7. (10 points) An open-top rectangular box is to be constructed from a 15" x 24" piece of cardboard by cutting out squares from the corners and folding up the sides. What are the dimensions of the box that will maximize its volume?
an open bos is to be constructed from cardboard by cutting out squares of equal size in the corners and then folding up the sides. if the cardboard is 6 inches by 11 inches, determine the volume of the largest box which can be so constructed.
Parts e & f please.
Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can (a) Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volumes of several such boxes. (b) Draw a diagram illustrating the general situation. Let x denote the length of the side of the square being cut out. Let y denote the length of the base. (c) Write an expression for the volume V in terms of both x and y y2r (d) Use the given information to write an equation that relates the variables x and y. (e) Use part (d) to write the volume as a function of only x V(x) = (f) Finish solving the problem by finding the largest volume that such a box can have. ft
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