The largest nugget of gold on record was found in 1872 in...

The largest nugget of gold on record was found in 1872 in New South Wales, Australia, and had a mass of 93.3 kg . Assuming the nugget is pure gold, what is its volume in cubic centimeters? What is it worth by today's standards if gold is $$\$ 559 / \mathrm{oz}$$ ? ( 14.58 troy oz $=1 \mathrm{lb}$ )

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Key Concepts

Troy Ounces and Precious Metal Valuation

Troy ounces are a specialized unit of mass used primarily for precious metals such as gold, silver, and platinum. Understanding the conversion between troy ounces and other mass units (like pounds or standard ounces) is essential for accurately valuating precious metals. Valuation is then determined by multiplying the mass in the appropriate units by the current market price per unit.

Density and Mass-Volume Relationship

This concept involves using the density of a material to convert its mass into volume. By knowing that density is defined as mass per unit volume, one can calculate the volume by dividing the mass of an object by its density. This is particularly useful when dealing with homogeneous materials like pure gold, where the density is a known constant.

Unit Conversions

Unit conversion is critical in physics and chemistry when measurements are given in different systems. Converting between mass units (like kilograms and ounces) and volume units (like cubic centimeters) ensures that calculations are correctly scaled. The problem requires converting mass to volume using the density of gold, which is provided in specific units, and also converting weight units when determining market value.

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