Gold has a density of 19.3 g/cm^3. Current price is $1192 per troy ounce. What is...

3.7 Ratings (533 Votes)

Volume of cubic gold , V = side length ³

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (1 inch)³

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (2.54 cm )³

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 16.39 cm³

Density of gold , d = 19.3 g/cm³

So mass of gold , m = density x volume

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 19.3 x 16.39 g

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 316.3 g

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 316.3 / 31.1 troy ounceÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Since 1 troy ounce = 31.1g

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 10.17 troy ounce

Given the cost of one troy ounce gold is $1192

So the cost of 10.17 troy ounce gold is $1192 x 10.17 = $12122 .

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