cubic meter

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Ashetty: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Sun May 08, 2011 4:33 pm

by Ashetty » Sat Jul 16, 2011 8:28 am

The mass of 1 cubic meter of a subtance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this subtance under these conditions?(1 kilogram=1000 grams and 1 cubic meter = 1,000,000 cubic centimetrs).

Ans: 1.25

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Source: Beat The GMAT — Problem Solving | Sat Jul 16, 2011 8:28 am

goalevan: Master | Next Rank: 500 Posts; Posts: 111; Joined: Tue Dec 30, 2008 1:25 pm; Location: USA; Thanked: 28 times; GMAT Score:770

by goalevan » Sat Jul 16, 2011 5:10 pm

We are given that 1 kg = 1000 g, and that 1 m^3 = 1,000,000 cm^3.

800 kg * (1000 g / 1 kg) = 800,000 g
1 m^3 * (1,000,000 cm^3 / 1 m^3) = 1,000,000 cm^3

800,000 g / 1,000,000 cm ^3 = 1 g / x cm^3

8/10 = 1/x
8x = 10
x = 10/8 = 5/4 = 1.25 cm^3

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