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Difficulty:
15%
(low)
Question Stats:
76% (00:56) correct
24%
(00:58)
wrong
based on 1132
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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
A. 24,000
B. 240,000
C. 2,400,000
D. 24,000,000
E. 240,000,000
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zxcvbnmas
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
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EMPOWERgmatRichC
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Expert reply
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:
GMAT assassins aren't born, they're made,
Rich
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:
GMAT assassins aren't born, they're made,
Rich
General Discussion
E. 240,000,000
10*100*6*100*4*100 = 240,000,000
10*100*6*100*4*100 = 240,000,000
Why cant we multiply 10 * 6 * 4 =240 meters first and then multiply 240 with centimeters? 
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
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
Convert each side in Cm units: 1000 Cm, 600 cm, 400 cm
Volume: l*b*h = 1000*600*400 = 240,000,000
Option E
Volume: l*b*h = 1000*600*400 = 240,000,000
Option E
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Expert reply
Posts: 22,738
buckkitty
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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