Problem Solving

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

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