Precious metals and gems are measured in troy weights in the English system:
$\begin{aligned} 24 \text { grains } &=1 \text { pennyweight (exact) } \\ 20 \text { pennyweight } &=1 \text { troy ounce (exact) } \\ 12 \text { troy ounces } &=1 \text { troy pound (exact) } \\ 1 \text { grain } &=0.0648 \text { gram } \\ 1 \text { carat } &=0.200 \text { gram } \end{aligned}$
a. The most common English unit of mass is the pound avoirdupois. What is one troy pound in kilograms and in pounds?
b. What is the mass of a troy ounce of gold in grams and in carats?
c. The density of gold is $19.3 \mathrm{~g} / \mathrm{cm}^{3}$. What is the volume of a troy pound of gold?