SOLUTION: the width of a rectangle storage container is 1.25 times its height . the length of the container is 16 inches and the volume of the container is 2000 cubic inches. find the dimens
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Question 350530: the width of a rectangle storage container is 1.25 times its height . the length of the container is 16 inches and the volume of the container is 2000 cubic inches. find the dimensions of the container
Answer by jjordan95(63) (Show Source): You can put this solution on YOUR website!
First off, lets transform the word problem into algebra so we understand what we are working with here.
The volume of a rectangular prism is
So the next step, now that we have listed our given information, is to plug it into the formula.
2000 cubic inches = X inches * 1.25X inches * 16 inches
2000 cubic inches / 16 inches = 125 square inches
125 square inches = X inches * 1.25 X inches
125 square inches = 1.25X^2 square inches
125 / 1.25 = x^2 inches squared
100 square inches = X^2 inches
square root of 100 square inches = X =
1.25 * 10 = 1.25X =
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