SOLUTION: A company produces boxes that are 5m long, 4m wide and 3m high. The company wants to increase each dimension by the same amount so that the new volume is twice as big. How much in

Algebra ->  College  -> Linear Algebra -> SOLUTION: A company produces boxes that are 5m long, 4m wide and 3m high. The company wants to increase each dimension by the same amount so that the new volume is twice as big. How much in       Log On


   

Question 1164099: A company produces boxes that are 5m long, 4m wide and 3m high. The company wants to increase each dimension by the same amount so that the new volume is twice as big. How much in centimeters is the increase in dimension.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A company produces boxes that are 5m long, 4m wide and 3m high. The company wants to increase each dimension by the same amount so that the new volume is twice as big. How much in centimeters is the increase in dimension.
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Multiply each dimension by root%283%2C2%29
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5%2Aroot%283%2C2%29%2A4%2Aroot%283%2C2%29%2A3%2Aroot%283%2C2%29+=+2%2A%285%2A4%2A3%29
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That is multiplied by the same amount.
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Increase by x cms:
(5+x)*(4+x)*(3+x) = 2*5*4*3 = 120
x^3 + 12x^2 + 47x -60 + 0
x = 1


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Add 100 cm = 1 meter  to each 5m, 4m, 3m  and notice that


    (5+1)*(4+1)*(3+1) = 6*5*3 = 2*(5*4*3).


ANSWER.  The increase is 100 cm, or 1 meter.


Nice entertainment problem (!)