Questions: Convert 0.0033 m^3 into cm^3

Convert 0.0033 m^3 into cm^3
Transcript text: Convert $0.0033 \mathrm{~m}^{3}$ into $\mathrm{cm}^{3}$
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Solution

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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=100cm1 \, \text{m} = 100 \, \text{cm}, we cube this conversion factor to convert cubic meters to cubic centimeters.

Step 2: Apply the Conversion

Given that 1m3=(100cm)31 \, \text{m}^3 = (100 \, \text{cm})^3, we calculate: 1m3=1003cm3=1,000,000cm3 1 \, \text{m}^3 = 100^3 \, \text{cm}^3 = 1,000,000 \, \text{cm}^3

Step 3: Convert the Given Volume

The given volume is 0.0033m30.0033 \, \text{m}^3. To convert this to cubic centimeters, we multiply by the conversion factor: 0.0033m3×1,000,000cm3/m3=3300cm3 0.0033 \, \text{m}^3 \times 1,000,000 \, \text{cm}^3/\text{m}^3 = 3300 \, \text{cm}^3

Final Answer

The volume in cubic centimeters is 3300cm3\boxed{3300 \, \text{cm}^3}.

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