You win the lottery and decide to impress your friends by exhibiting a million-dollar cube of gold. At the time, gold is selling for $1282 per troy ounce, and 1.0000 troy ounce equals 31.1035 g. How tall would your million-dollar cube be?

10.79cm

Step-by-step explanation:

Given

Selling price of gold is $1282 per troy ounc

We need to know the number of ounces that can be bought with million dollar

= $1000000/1282

=780.03 ounces

If we convert to gram we have

=780.03 ounces×(31.1035/1.0000)

=24261.700468grams

Then to calculate the volume we know that

volume =mass/density

The density of gold =19.32

Then substitute the density and mass

Then the volume = 24261.700468/19.32

= 1255.78159772 cubic cm length of side

Density=

a= volume^1/3 =(1255.78159772)^1/3

= 10.79cm

ou would have 12 of each