Sure! Let's convert 10,000 cubic centimeters to cubic kilometers using unit multipliers:
Step 1: We start with 10,000 cubic centimeters (cm³).
Step 2: Convert cubic centimeters to cubic meters. We know that 1 meter (m) equals 100 centimeters (cm). When dealing with cubic units, this relation becomes 1 cubic meter equals 1,000,000 cubic centimeters since (100cm x 100cm x 100cm = 1,000,000 cm³). So, we divide 10,000 cm³ by 1,000,000 to convert it to cubic meters. The result is 0.01 cubic meters.
Step 3: Convert cubic meters to cubic kilometers. We know that 1 kilometer (km) equals 1000 meters (m). Similar to the previous step, in cubic units this relation becomes 1 cubic kilometer equals 1,000,000,000 cubic meters (1000m x 1000m x 1000m = 1,000,000,000 m³). So, we divide 0.01 m³ by 1,000,000,000 to convert it to cubic kilometers. The result is 0.00000000001 cubic kilometers, or 1.0e-11 km³ in scientific notation.
Always ensure your units cancel out correctly at each step of your conversion. In the end, our conversion helped us find the correct numbers: 0.01 m³ and 1.0e-11 km³.
The Conversion of 10,000 Cubic Centimeters To Cubic Kilometers is 0.01 m³ and 1.0e-11 km³.