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Multiple Choice
How do you calculate the mass of water in a given volume measured in cubic yards, given the density of water is approximately 1 g/cm³?
A
Convert cubic yards to liters and multiply by the density of water.
B
Convert cubic yards to cubic centimeters and multiply by the density of water.
C
Multiply the volume in cubic yards by the density of water directly.
D
Use the density of water in pounds per cubic foot to find the mass.
Verified step by step guidance
1
Start by understanding the relationship between different units of volume. 1 cubic yard is equivalent to 27 cubic feet, and 1 cubic foot is equivalent to 28,316.8 cubic centimeters (cm³).
Convert the given volume from cubic yards to cubic centimeters. Multiply the volume in cubic yards by 27 to convert to cubic feet, and then multiply by 28,316.8 to convert to cubic centimeters.
Recall that the density of water is approximately 1 g/cm³. This means that 1 cubic centimeter of water has a mass of 1 gram.
To find the mass of water, multiply the volume in cubic centimeters by the density of water (1 g/cm³). This will give you the mass in grams.
If needed, convert the mass from grams to other units such as kilograms by dividing by 1,000, since 1 kilogram is equal to 1,000 grams.