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

Gold has a density of 19.3 g/cm^3. Current price is $1192 per troy ounce. What is the value of a cube of a gold with a side length of 1 inch? (1 troy ounce = 31.1g) (2.54cm=1inch)

Expert Solution

Volume of cubic gold , V = side length ³

= (1 inch)³

= (2.54 cm )³

= 16.39 cm³

Density of gold , d = 19.3 g/cm³

So mass of gold , m = density x volume

= 19.3 x 16.39 g

= 316.3 g

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

= 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 .

queen_honey_blossom answered 1 year ago

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