SOLUTION: The volume of a rectangular solid is given by the formula V = lwh, where l is the length, w is the width, and h is the height. The volume of a rectangular solid is 150 cubic ce

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Question 1128542: The volume of a rectangular solid is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
The volume of a rectangular solid is 150 cubic centimeters. Its height is 3 centimeters, and its width is 5 centimeters shorter than its length.
Find the sum of its length and width.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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The volume of a rectangular solid is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
The volume of a rectangular solid is 150 cubic centimeters. Its height is 3 centimeters, and its width is 5 centimeters shorter than its length.
Find the sum of its length and width.
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The formula with slightly different choice for the variables:
v=Lwh


v=150
h=3
w=L-5
L=w%2B5

150=L%2A%28L-5%29%2A3
-
150=3%28L%5E2-5L%29
50=L%5E2-5L
L%5E2-5L-50=0
%28L%2B5%29%28L-10%29=0

L=10------------w=10-5=5

Sum of length and width:
L%2Bw
10%2B5
highlight%2815%29