SOLUTION: 4. The length of a rectangular bin is 2 more than its width and the height is 3 ft less than its width. Find the dimensions of the bin if its volume is 70f * t ^ 3
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Question 1176834: 4. The length of a rectangular bin is 2 more than its width and the height is 3 ft less than its width. Find the dimensions of the bin if its volume is 70f * t ^ 3
Found 3 solutions by josgarithmetic, MathLover1, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Are you trying to write this?
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The length of a rectangular bin is 2 feet more than its width, and the height is 3 feet less than its width. Find the dimensions of the bin if its volume is 70 ft^3.
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A graphing tool will show a real root of 5.
Dimensions: 7, 5, 2.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
if the length is more than its width , we have
and if the height is less than its width, we have
if its volume is , we have
....substitute and
one real solution is
then and
check the volume:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Informally....
70 = 2*5*7 so height 2, width 5, length 7
Algebraically....
x = width
x+2 = length
x-3 = height
The volume is 70:
What you do with that is up to you.
I would graph the function on a graphing calculator to find the x value that makes the function value 0.
Or I might solve the problem informally to find the width is 5, as shown above, and then verify that that answer gives the right volume.
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