3. Pure gold has density. 19,300 kg/m³. A friend gives you as a gift a rectangular piece of metal with dimensions 10.0mm x 20.0mm x 30, 0mm- and a mass 4.560 x 10-² kg. Your friend says it is pure goid. Which density do youderive for this rectangular piece of metal? And is it gold? Express your answer in kilograms per cubic meter.

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### Density of a Rectangular Piece of Metal

Pure gold has a density of \( 19,300 \, \rm{kg/m^3} \).

A friend gives you as a gift a rectangular piece of metal with dimensions \( 10.0 \, \rm{mm} \times 20.0 \, \rm{mm} \times 30.0 \, \rm{mm} \) and a mass of \( 4.50 \times 10^{-2} \, \rm{kg} \).

Your friend says it is pure gold. Which density do you derive for this rectangular piece of metal? And is it gold?

Express your answer in kilograms per cubic meter.
Transcribed Image Text:### Density of a Rectangular Piece of Metal Pure gold has a density of \( 19,300 \, \rm{kg/m^3} \). A friend gives you as a gift a rectangular piece of metal with dimensions \( 10.0 \, \rm{mm} \times 20.0 \, \rm{mm} \times 30.0 \, \rm{mm} \) and a mass of \( 4.50 \times 10^{-2} \, \rm{kg} \). Your friend says it is pure gold. Which density do you derive for this rectangular piece of metal? And is it gold? Express your answer in kilograms per cubic meter.
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