SOLUTION: 1) A rectangular storage unit has dimensions of : 1m by 2m by 3m. If each linear dimension is increased by the same amount. a) What increase would result in a new storage unit wit

Question 386954: 1) A rectangular storage unit has dimensions of : 1m by 2m by 3m. If each linear dimension is increased by the same amount. a) What increase would result in a new storage unit with a volume of 10 times the orginal? b) How many possible solutions are there to this problem? c) Sketch the graph of the information presented in this problem. Show how the zeros of the function relate to the answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1) A rectangular storage unit has dimensions of : 1m by 2m by 3m.
If each linear dimension is increased by the same amount.
Old Volume 1*2*3 = 6 cubic meters
New VOlume (x+1)(x+2)(x+3) cubic meters
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a) What increase would result in a new storage unit with a volume of 10 times the orginal?
Solve (x+1)(x+2)(x+3) = 10*6
I graphed the left side and the right side separately
and found the x-value of the point of intersection.
Ans: x = 2
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b) How many possible solutions are there to this problem?
Ans: One Real Number answer.
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c) Sketch the graph of the information presented in this problem.
Show how the zeros of the function relate to the answer.
Graph: (x+1)(x+2)(x+3)-60 = y

x=2 is the only Real Number zero.
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Cheers,
Stan H.
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