Answer:
Side of cube = 24 mm
Explanation:
Usually gold price is represented for 8 g of gold = 300$
Density of gold = 19.32 [tex]g/cm^3[/tex]
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 [tex]cm^3[/tex] = 138000 [tex]mm^3[/tex]
Volume of cube of gold = [tex]a^3[/tex], where a is the side of cube,
So side of cube , a = [tex]\sqrt[3]{138000} =23.99 mm = 24 mm[/tex]