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The mass of 1 cubic meter of a substance is 800 kilograms

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The mass of 1 cubic meter of a substance is 800 kilograms [#permalink] New post 08 Jan 2011, 09:55
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The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A. 0.80
B. 1.25
C. 8.00
D. 12.50
E. 80.00
[Reveal] Spoiler: OA
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Re: Official GMAT question - help! [#permalink] New post 08 Jan 2011, 10:02
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Yalephd wrote:
The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A) 0.80
B) 1.25
C) 8.00
D) 12.50
E) 80.00


800 kg - 1 cubic meter;
800,000 g - 1 cubic meter;
800,000 g - 1,000,000 cubic centimeters;
1 g - 1,000,000/800,000 = 10/8 = 1.25 cubic centimeters.

Answer: B.


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Re: Official GMAT question - help! [#permalink] New post 08 Jan 2011, 10:27
Thanks, Bunuel. Sorry about posting in the wrong forum.
I am confused, because isn't 1,000,000 cubic centimeters / 800,000 g the density of the substance. That is 1.25 cubic cubic centimeters per gram of the substance. The question asked for volume, not density.
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Re: Official GMAT question - help! [#permalink] New post 08 Jan 2011, 10:41
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Yalephd wrote:
Thanks, Bunuel. Sorry about posting in the wrong forum.
I am confused, because isn't 1,000,000 cubic centimeters / 800,000 g the density of the substance. That is 1.25 cubic cubic centimeters per gram of the substance. The question asked for volume, not density.


Density is mass divided by volume. So density of the given substance will be mass/volume=800kg/1m^3=800 kg/m^3 or 1g/1.25cm^3=0.8 g/cm^3.

Next, ask yourself if 800,000 g is equivalent to 1,000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters? --> 1 g - 1,000,000/800,000 = 10/8 = 1.25 cubic centimeters.

Hope it's clear.
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Re: The mass of 1 cubic meter of a substance is 800 kilograms [#permalink] New post 10 Dec 2014, 19:50
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Re: The mass of 1 cubic meter of a substance is 800 kilograms [#permalink] New post 12 Dec 2014, 00:09
\(Volume = \frac{10^6}{8 * 10^5} = 1.25\)

Answer = B
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Re: The mass of 1 cubic meter of a substance is 800 kilograms   [#permalink] 12 Dec 2014, 00:09
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