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Problem 5. (1 point) A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 16900 in^3. How big a piece of cardboard is needed? Your answer is: in. by in.

          Problem 5. (1 point)
A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 16900 in^3. How big a piece of cardboard is needed?
Your answer is: in. by in.
        
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problem 5 1 point a box with a square base and no top is to be made from a square piece of cardboard by cutting 4 in squares from each corner and folding up the sides the box is to hold 1690 20506

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Problem 5. (1 point) A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 16900 in^3. How big a piece of cardboard is needed? Your answer is: in. by in.
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Transcript

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00:01 In this problem, an open box is made out of a cardboard sheet by cutting out 5 inches square from all the four corners and folding up the sides.
00:15 It is also known as the volume v of the box is 2 ,420 cubic inches.
00:25 We are asked to determine the dimensions of the cardboard so that this box.
00:32 Box can be made.
00:36 Now this diagram shows the situation.
00:39 Let the cardboard has side length x and since from each corners five inch squares are cut out, the box will have a height of five inches and the length and width of this box will be x minus subtract the five inches from both sides so that x minus x minus.
01:04 So that x minus 10 will be the width and length of the square box.
01:10 Now, the length of the box is actually the dimension of the base, that is x minus 10.
01:21 The width of the box is also x minus 10 since it has a square base.
01:27 And the height of the box is 5 inches...
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