If a rectangular room measures 10 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters?

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Wed Feb 24, 2021 3:43 pm

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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

OA E

Source: GMAT Prep

Source: Beat The GMAT — Problem Solving | Wed Feb 24, 2021 3:43 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: If a rectangular room measures 10 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeter

by swerve » Wed Feb 24, 2021 4:32 pm

BTGmoderatorDC wrote: ↑
Wed Feb 24, 2021 3:43 pm
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

OA E

Source: GMAT Prep

Try as follows:

1) Volume in meters:
$6 \times 10 \times 4 = 240 m^3$

2)Then, $1 m = 100 cm = 10^2 cm$. So, substitute $"1 m = 100 cm"$ into $240 m^3$ and multiply

3) Next,
$240 m^3 = 240 \cdot (100)^3$
$240 m^3 = 240 \cdot (10^2)^3$
$240 m^3 = 240 \cdot 10^6$

Finally,
$240 m^3 = 240$ PLUS $6$ zeros
$240 m^3 = 240,000,000$

Therefore, E

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: If a rectangular room measures 10 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeter

by Scott@TargetTestPrep » Sun Mar 07, 2021 12:34 pm

BTGmoderatorDC wrote: ↑
Wed Feb 24, 2021 3:43 pm
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

OA E

Solution:

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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