Question

If gold costs 300$ how any millimeters on aside does a 10,000$ cube of gold measure?

Answer 1

Side of cube = 24 mm

Step-by-step explanation:

Usually gold price is represented for 8 g of gold = 300$

Density of gold = 19.32
`g/cm^3`

Mass of gold for 10000$ = (10000/300)*8 = 266.67 g

We have density = Mass/ Volume

So volume = Mass/density = 266.67/19.32 = 13.80
`cm^3` = 138000
`mm^3`

Volume of cube of gold =
`a^3`, where a is the side of cube,

So side of cube , a =
`\sqrt[3]{138000} =23.99 mm = 24 mm`