Question 1128539: 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 the rectangular solid is 100 cubic centimeters. Find the width of the rectangular solid if its length is 10 centimeters and its height is 1 centimeter longer than twice its width.
Found 2 solutions by greenestamps, llamdot:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
You need to find the width, so let that be the variable.
Let w = width
Then the height is 1 more than twice the width:
Then h = 2w+1
The volume is lwh; and you are given v=100 and l=10. So
If you want to (or have to) use formal algebra, that gives you a quadratic equation that is relatively easy to solve.
But you should be able to see the solution without formal algebra. What two numbers multiplied together give a product of 10, with one of the numbers being 1 more than twice the other?
Answer by llamdot(2)  (Show Source):
You can put this solution on YOUR website! 2w^2+w−10
=(2w+5)(w−2)
w = 2, and -5 /2
forget the negative answer, and we focus on positive answer of 2.
Therefore, 2 cm = width
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