cm & mm

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crackgmat007: Legendary Member; Posts: 882; Joined: Fri Feb 20, 2009 2:57 pmFollowed by: 1 member; Thanked: 15 times; GMAT Score:690

by crackgmat007 » Tue May 05, 2009 9:35 am

B. If the volume of a small container is 14,520 cubic millimeters, what is the volume of the
container in cubic centimeters?
(1 millimeter = 0.1 centimeter)
A. 0.1452
B. 1.452
C. 14.52
D. 145.2
E. 1,452

OA - C

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Source: Beat The GMAT — Problem Solving | Tue May 05, 2009 9:35 am

stevestein: GMAT Instructor; Posts: 5; Joined: Mon Mar 30, 2009 11:30 am; Thanked: 3 times; GMAT Score:770

by stevestein » Tue May 05, 2009 10:46 am

In this case, one basic question that we need to answer is this: How many cubic millimeters are there in one cubic centimeter?

Let's picture one cubic centimeter:
It is a cube that is 1 cm x 1 cm x 1 cm.

Since 1 cm = 10 mm, the cube's dimensions could also be characterized as 10mm x 10mm x 10mm.

Therefore: 1 cubic centimeter = 1000 cubic millimeters.

If the container has a volume 14,520 cubic millimeters, this volume is also equal to 14520/1000 cubic centimeters, which equals 14.52 cubic centimeters, so the correct answer choice is (C).

Steve Stein
PowerScore GMAT Instructor

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