Transcript text: Convert $0.0033 \mathrm{~m}^{3}$ into $\mathrm{cm}^{3}$
Solution
Solution Steps
To convert cubic meters to cubic centimeters, we need to use the conversion factor between meters and centimeters. Since 1 meter is equal to 100 centimeters, we cube this conversion factor to convert cubic meters to cubic centimeters.
Step 1: Understand the Conversion Factor
To convert from cubic meters to cubic centimeters, we need to know the conversion factor between meters and centimeters. Since 1m=100cm, we cube this conversion factor to convert cubic meters to cubic centimeters.
Step 2: Apply the Conversion
Given that 1m3=(100cm)3, we calculate:
1m3=1003cm3=1,000,000cm3
Step 3: Convert the Given Volume
The given volume is 0.0033m3. To convert this to cubic centimeters, we multiply by the conversion factor:
0.0033m3×1,000,000cm3/m3=3300cm3