Eight sided dice can be described as two square based pyramids stuck together at
the bases. Their faces are equilateral triangles. If the edge of one die is 2mm, find the difference
in materials cost between a solid gold die and a “gold” painted plastic die.
(Gold costs $40.38 per gram. Gold weighs 0.02 grams per cubic mm. Plastic costs $10 per gram.
Plastic weighs .01 grams per cubic mm. “Gold” paint costs $0.01 per square mm.)