chemistry dimensional analysis

Question

The density of platinum is 21.45 g/mL. How many cubic meters does a 95 kg block of platinum occupy?

Answer 1

95 kg x 1000 g/kg x 1 ml/21.45 g x 1x10^-6 m³/ml = 4429x10^-6 m³ = 0.0044 m³

Answer 2

A milliliter is one thousandth of a cubic meter.

A kilogram is 1000 grams

So, using your training in dimensional analysis,

Platinum has 21.45 gm/ml * 95 kg * 1 kg/ 1000 gm * 1000 ml/ 1 cubic meter = 2037.75 kg/m^3

Pretty heavy, huh?