http://www.vijaytapanchal.com/ounces-gem/

This question is very long but I really need help, precisous metals and gems are measured in troy weights in?
English System:
24 grains = 1 pennyweight (exact)
20 pennyweight = 1 troy ounce (exact)
12 troy ounces = 1 troy pound (exact)
1 grain = .0648 gram
1 carat = .200 gram
a. 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 g/cm^3. what is the volume of a troy pound of gold?
plz i really answers and i appreciate it
a.
1 troy pound = 12 troy ounces=240 pennyweight= 5760 grains.
1 grain = 0.0648 gram
5760 * 0.0648 = 373.248 grams.
1000 gram = 1 kilogram
373.248 / 1000 = 0.373248 kg
b. 1 troy ounce = 20 penny weight = 480 grains
1 grain = 0.0648 grams
480 * 0.0648 = 31.104 grams
1 carat= .200 gram
31.104 / .200 = 155.52 carats
c. 31.104 grams / 19.3 g/cm^3 = 1.61 cm^3
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