How many liters of gold weigh 424.6kg given the density of gold is 19.3g/cm3

Question

How many liters of gold weigh 424.6kg given the density of gold is 19.3g/cm3

Answer 1

Knowns/Formulas:

1 cm^3 = 1 mL

 1 kg = 1000 g

  D = M/V

 

Solving the equation:

 

1.) D = M/V (where D =19.3g/cm^3 and M = 424.6kg = 424,600 g)

 

19.3 g/cm^3 = 424,600 g/ V

 

2.) Multiply both sides by V: multiply the right side of the equation by V, which would cancel it out on the right side.

19.3 g/cm^3 (V) = 424,600 g

 

3.) Now divide both sides by D (19.3 g/cm^3).

 

V = 22,000 cm^3

 

4.) We must now convert this volume to liters.

V = 22,000 cm^3 = 22,000 ml

 

22,000 ml X (1 liter/1000 mL) = 22 L