Final answer:
The density of water is 1 g/cm³ and is equivalent to 1000 kg/m³ when units are converted, confirming mass in the metric system is the product of density and volume.
Step-by-step explanation:
When calculating mass based on density and volume, it's important to confirm that the units used are consistent. In this case, the density of water is commonly known to be 1 g/cm³. By converting units, we can show that this is equivalent to 1000 kg/m³. To confirm this, understand that 1 kg is equal to 1000 g, and 1 m³ is equal to 1,000,000 cm³ (since 1m = 100 cm and cubing both sides of the equation gives us 1m³ = 100³ cm³).
Therefore, 1 g/cm³ translates to 1000 g/1,000,000 cm³, which simplifies to 1 kg/1000 L, given that 1 L is 1000 cm³. Hence, using the metric system and the fact that density is mass per unit volume, the calculated mass will be the product of the water's density and its volume.