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QUESTION

# The density of silver is 10.5 "g/cm"^3, what mass of silver would occupy a volume of 24.0 "cm"^3?

is the mass per unit of volume of a substance. Density is measured in mass units over volume units. In this problem, the mass unit is grams, and the volume unit is "cm"^3. The density formula is:

"density" = "mass"/"volume"

Your question is asking you to find the mass of a sample of silver with a known density and volume.

Known/Given: density = "10.5g/cm"^3 volume = "24.0cm"^3

Formula: "density" = "mass"/"volume"

Solution: Using the density formula to solve for mass, the formula is re-written as "mass" = "density" x "volume"

"mass" = "10.5g"/"cm"^3 x "24.0cm"^3 = "252g"

The volume unit "cm"^3 cancels, leaving mass in grams, and the mass of the sample of silver is "252g".