Question: 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

Correct Answer: (C)
Solutions and Explanation
Approach Solution - 1:

We know 800 kg is the mass for 1 cubic meter.

Let it be 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.

Approach Solution - 2 :

Mass divided by volume equals density.

Therefore, the given substance's density will be given as mass/volume= (800 kg) / (1 m^3) = (800 kg) /(m^3) or (1 g) / (1.25 cm^3) = (0.8 g) / (cm^3)
Next, determine how many cubic centimeters 1 g is equivalent to if 800 000 g is equal to 1 000 000 cubic centimeters.

Therefore 1 g divided by 800,000 is equal to 10/8, which is 1.25 cubic centimeters.

Approach Solution - 3 :

Simply swap out the provided units for the necessary units according to the relation.

Therefore, For a mass of 800 kg, it is Volume 1 m^3
Which implies that for mass of 800 * 1000 grams => Volume 1 *100 cm *100 cm * 100 cm
Then, for a mass of 1 gram => Volume 1000000 cm^3 /800 * 1000
Finally, for a mass of 1 gram => Volume 5/4 = 1.25 cm^3

“The mass of 1 cubic meter of a substance is 800 kilograms under” - is a subject covered in the GMAT quantitative reasoning section. A student needs to be knowledgeable in a wide range of qualitative skills in order to successfully complete GMAT Problem Solving questions. There are 31 questions in the GMAT Quant section overall. Calculative mathematical problems must be solved in the GMAT quant topics' problem-solving section using appropriate mathematical skills.

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