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If a rectangular room measures 10 meters by 6 meters by 4

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If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post 12 Mar 2006, 12:21
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75% (01:44) correct 25% (00:46) wrong based on 78 sessions
If a rectangular room measures 10 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters)

A. 24,000
B. 240,000
C. 2,400,000
D. 24,000,000
E. 240,000,000
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 Apr 2015, 02:49, edited 1 time in total.
Added the OA.
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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post 12 Mar 2006, 12:24
E. 240,000,000

10*100*6*100*4*100 = 240,000,000
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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post 12 Apr 2015, 17:10
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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post 12 Apr 2015, 18:48
Expert's post
Hi All,

This question has a great Number Property 'shortcut' built into it; when combined with the answer choices, you can avoid almost all of the 'math' in this question.

We're told that the dimensions of a rectangular room are 10 meters by 6 meters by 4 meters. We're asked for the volume of the room in cubic CENTIMETERS? (1 meter=100 centimeters).

Converting the dimensions from meters to centimeters is pretty straight-forward - we just have to multiply each number by 100:

10 meters by 6 meters by 4 meters becomes...

1000 cm by 600 cm by 400 cm

Notice that these three numbers include 7 zeroes. When we multiply them together, the correct answer MUST have at AT LEAST 7 zeroes. Looking at the answer choices, there's only one answer that fits:

Final Answer:
[Reveal] Spoiler:
E


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Re: If a rectangular room measures 10 meters by 6 meters by 4   [#permalink] 12 Apr 2015, 18:48
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