Nicky calculated the density of a brass key by dividing its - GED Practice Questions
Question
Nicky calculated the density of a brass key by dividing its mass in grams (g) by its volume in cubic centimeters. To compare her result to a published value, she must convert the units for density to kilograms per cubic meter (kg/m³).
The formula for density is given by:
What is Nicky's calculated value for the density of the brass key when it is converted to kilograms per cubic meter?
Given:
- Mass of key = 85 g
- Volume of key = 10 cm³
Conversion factors:
- 100 centimeters = 1 meter
- 1,000 grams = 1 kilogram
You may use the calculator.
Answers
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correct
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Explanation
First, calculate the density in g/cm³:
Density = Mass / Volume = 85 g / 10 cm³ = 8.5 g/cm³
Now, we need to convert this to kg/m³:
- To convert g to kg, divide by 1000
- To convert cm³ to m³, multiply by (100)³ = 1,000,000 (because 100 cm = 1 m)
So, 8.5 g/cm³ = 8.5 * (1/1000) / (1/1,000,000) kg/m³
= 8.5 * 1000 kg/m³
= 8,500 kg/m³
Therefore, Nicky's calculated value for the density of the brass key, when converted to kilograms per cubic meter, is 8,500 kg/m³.
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