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

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buckkitty
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If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post   Updated on: 13 Apr 2015, 03:49
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E

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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
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E

Originally posted by buckkitty on 12 Mar 2006, 13:21.
Last edited by Bunuel on 13 Apr 2015, 03:49, 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   15 Jul 2016, 16:00
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zxcvbnmas wrote:
Why cant we multiply 10 * 6 * 4 =240 meters first and then multiply 240 with centimeters? :beat

You can, and that way is much easier in my opinion.

10 * 6 * 4 = 240 meters cubed

1 meter = 100 cm
1 meter squared = (100cm)^2 = 10000 cm sq.
1 meter cubed = (100cm)^3 = 1000000 cm cubed

So 240 meter cubed * 1000000 cm^3/1m^3 = answer E
buckkitty wrote:
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



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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post   12 Apr 2015, 19:48
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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:
Show Spoiler
E


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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post   12 Mar 2006, 13:24
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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   15 Jul 2016, 15:33
Why cant we multiply 10 * 6 * 4 =240 meters first and then multiply 240 with centimeters? :beat
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If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post   09 Oct 2016, 13:47
Quicker approach, step by step:

1) Volume in meters: 6 x 10 x 4 = 240 m³

2) 1 m = 100 cm = 10² cm
... so substitute "1 m = 100 cm" into 240 m³ and multiply

3) 240 m³ = 240 * (100)³
240 m³ = 240 * (10²)³
240 m³ = 240 * 10 ^ 6

so 240 m³ = 240 PLUS 6 zeroes
240 m³ = 240,000,000
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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post   08 Jan 2020, 09:10
Convert each side in Cm units: 1000 Cm, 600 cm, 400 cm

Volume: l*b*h = 1000*600*400 = 240,000,000

Option E
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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post   10 Jan 2020, 07:17
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buckkitty wrote:
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


Since 1 m^3 = 1000^3 cm^3 = 1,000,000 cm^3, the volume of the room, in cubic centimeters, is:

10 x 6 x 4 x 1,000,0000 = 240,000,000

Answer: E
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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink] New post   11 Oct 2023, 01:34
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Re: If a rectangular room measures 10 meters by 6 meters by 4 [#permalink]
11 Oct 2023, 01:34
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