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Multiple Choice
Silver has a density of 10.49 g/cm³. What is the density of silver in kg/m³?
A
104.9 kg/m³
B
1.049 kg/m³
C
10490 kg/m³
D
10.49 kg/m³
Verified step by step guidance
1
Understand that density is a measure of mass per unit volume. The given density of silver is 10.49 g/cm³, and we need to convert this to kg/m³.
Recognize the conversion factors needed: 1 g = 0.001 kg and 1 cm³ = 0.000001 m³.
Convert the mass from grams to kilograms by multiplying the given density by the conversion factor for grams to kilograms: 10.49 g/cm³ × 0.001 kg/g.
Convert the volume from cubic centimeters to cubic meters by dividing the result by the conversion factor for cubic centimeters to cubic meters: (10.49 × 0.001) kg/cm³ ÷ 0.000001 m³/cm³.
Combine the conversions to find the density in kg/m³: 10.49 × 1000 kg/m³.