Question: A person has a box of platinum. The base of the box is 1 meter long and ½ meter wide. The height of the box is 2 meters. The density of platinum is 21.3 g/cm3. The price of platinum is $1,500 per ounce. How much is the box worth?
Answer: The volume of the box is (100 x 200 x 50) cm3 or 1,000,000 cm3. Each cubic centimeter weighs 21.3 grams so the entire box weighs 21,300,000 grams (21.3 x 1,000,000). Since there are 28.3494 grams per ounce the weight of the box in ounces is 21,300,000/28.3494 or 751,388.6 ounces. At $1,500 per ounce this box is worth $1.127 billion ($1,500 x 751,388.6).
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