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
Answer: B
Source: GMAT Prep
The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centime
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GIVEN: 1 cubic METER of the substance weighs 800 KILOGRAMSM7MBA wrote: ↑Thu Nov 18, 2021 10:09 amThe 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
Answer: B
Source: GMAT Prep
1 kg =1,000 grams, so we can write: 1 cubic METER of the substance weighs 800,000 GRAMS
1 cubic meter = 1,000,000, so we can write: 1,000,000 cubic CENTIMETERS of the substance weighs 800,000 GRAMS
What is the volume in cubic centimeters of 1 gram of this substance under these conditions?
Take last line and divide both values by 800,000 to get: 1,000,000/800,000 cubic CENTIMETERS of the substance weighs 800,000/800,000 GRAMS
Simplify to get: 1.25 cubic CENTIMETERS of the substance weighs 1 GRAM
Answer: B
Cheers,
Brent