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Kilograms to grams; volume

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by joconnor » Wed Sep 21, 2011 5:27 pm
The mass of 1 cubic meter of substance is 800 kgs under certain conditions. What is the volume, in cubic centimeters of 1 gram of this substance under these conditions? (1 kg = 1,000 g and 1 cubic meter = 1,000,000 cubic centimeters)

a. .80
b) 1.25
c) 8.0
d) 12.50
e) 80
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by cans » Wed Sep 21, 2011 6:11 pm
800kgs -> 1 cubic m = 10^6 cubic cm
8 * 10^5 gm = 10^6 cubic cm
or 1 gm = 10/8 = 1.25
IMO B
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by VivianKerr » Thu Sep 29, 2011 6:41 am
We can just do a nice straightforward unit conversion to get the answer:

(1 cub meter / 800 kg) * (1 kg / 1000g) * (1,000,000 cub cm / 1 cub meter)

I set it up this way so the kg's and the cubic meters cancel out and we are left with the label the question is asking for: cubic cm/gram.

= 1,000,000 / 800,000

5 zeroes will cancel: 10/8 = 5/4

The answer is B.
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