Final answer:
C. 1000 g multiplying the density of 1 g/cm³ by the cubic centimeter volume in a cubic meter (1,000,000 cm³) results in a mass of 1,000,000 grams or 1000 kilograms. Hence, the mass of one cubic meter of water with a density of 1 g/cm³ is 1000 grams.
Explanation:
One cubic meter of water with a density of 1 g/cm³ has a mass of 1000 grams. This is because the density of water is 1 gram per cubic centimeter. As there are 100 centimeters in a meter, when converting the density from grams per cubic centimeter to grams per cubic meter, you multiply by 100^3 (since 1 meter equals 100 centimeters in length cubed). So, 1 g/cm³ * (100 cm)^3 = 1 g/cm³ * 1,000,000 cm³ = 1,000,000 grams = 1000 kilograms or 1,000,000 grams per cubic meter. Therefore, the mass of one cubic meter of water with a density of 1 g/cm³ is 1000 grams. ""
The density of water, often cited as 1 g/cm³, signifies that every cubic centimeter of water weighs 1 gram. To calculate the mass of one cubic meter, you need to consider the conversion from cubic centimeters to cubic meters. Given that 1 meter is equivalent to 100 centimeters, when cubed, this becomes 1,000,000 cm³ in a cubic meter.
Therefore, multiplying the density of 1 g/cm³ by the cubic centimeter volume in a cubic meter (1,000,000 cm³) results in a mass of 1,000,000 grams or 1000 kilograms. Hence, the mass of one cubic meter of water with a density of 1 g/cm³ is 1000 grams.