SOLUTION: The volume of a rectangular Chinese box is given by the formula V=LWH. The volume of the box shown on the right is 105 cu. units. Find the width and length.
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Question 854135: The volume of a rectangular Chinese box is given by the formula V=LWH. The volume of the box shown on the right is 105 cu. units. Find the width and length. Answer by harpazo(655) (Show Source):
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105 = (x+2)(x)(3)
105 = (3x)(x+2)
105 = 3x^2 + 6x
3x^2 + 6x - 105 = 0
x^2 + 2x - 35 = 0
(x-5)(x+7) = 0
x-5 = 0
x = 5
Reject x = -7 because we are dealing with measurement.
So, the width 5, the length is 7.
THE PROVE
105 = 7x5x3
105 = 35x3
105 = 105
