SOLUTION: The height of a box is 10 inches. The length is 3 inches more than the width. Find the width if the volume is 180 cubic inches.
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Question 1023206: The height of a box is 10 inches. The length is 3 inches more than the width. Find the width if the volume is 180 cubic inches.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well if the volume of the box is 180, and the height is ten, then the area of the base must be 180/10 = 18 square inches.
Then we can write
Area A = LW = 18 and L = W+3
Now substitute and get
(W+3)(W) = 18
W^2 + 3W - 18 = 0
(W + 6)(W - 3 = 0
W = -6 or W = 3
Thus the width is 3 inches.
The box is 3" x 6" x 10".
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