How many ounces of pure silver are present in a cube of sterling silver with a volume of 27.0 cm³?

Sterling silver is an alloy that contains 92.5% pure silver by mass. To find out how many ounces of pure silver are present in a cube of sterling silver with a volume of 27.0 cm³, we can follow these steps:

1. First, calculate the mass of the sterling silver cube using its density. The density of sterling silver is 10.3 g/cm³.
2. Using the formula for mass (mass = density × volume), we get:

mass = 10.3 g/cm³ × 27.0 cm³ = 278.1 g

3. Since sterling silver is 92.5% pure silver, we find the mass of pure silver in the cube:

mass of pure silver = 278.1 g × 0.925 = 257.4 g

4. Now, to convert grams to ounces, we use the conversion factor where 1 ounce is approximately 28.35 grams:

mass of pure silver in ounces = 257.4 g ÷ 28.35 g/ounce ≈ 9.09 ounces

Therefore, there are approximately 9.09 ounces of pure silver in a cube of sterling silver with a volume of 27.0 cm³.