SOLUTION: a rectangular solid has a volume of 640 cubic inches. the width is 3 inches more than the height and the length is 1 inch more than 3 times the height. find the dimensions of the s
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Question 983951: a rectangular solid has a volume of 640 cubic inches. the width is 3 inches more than the height and the length is 1 inch more than 3 times the height. find the dimensions of the solid. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! a rectangular solid has a volume of 640 cubic inches. the width is 3 inches more than the height and the length is 1 inch more than 3 times the height. find the dimensions of the solid.
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Vol = L*W*H = 640
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(3H+1)*(H+3)*H = 640
3H^3 + 10H^2 + 3H - 640 = 0
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If they are integers, one dimension is a multiple of 5.
--> H = 2
--> 7*5*2 = 70 NG
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H = 5
--> 16*8*5 = 640 works
