Questions: Convert 0.0033 m^3 into cm^3

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.

To convert from cubic meters to cubic centimeters, we need to know the conversion factor between meters and centimeters. Since \(1 \, \text{m} = 100 \, \text{cm}\), we cube this conversion factor to convert cubic meters to cubic centimeters.

Given that \(1 \, \text{m}^3 = (100 \, \text{cm})^3\), we calculate: \[ 1 \, \text{m}^3 = 100^3 \, \text{cm}^3 = 1,000,000 \, \text{cm}^3 \]

The given volume is \(0.0033 \, \text{m}^3\). To convert this to cubic centimeters, we multiply by the conversion factor: \[ 0.0033 \, \text{m}^3 \times 1,000,000 \, \text{cm}^3/\text{m}^3 = 3300 \, \text{cm}^3 \]

Final Answer