Platinum density is 2146 gcm3 At market close platinum costs

Platinum density is 21.46 g/cm³ At market close, platinum costs $1.309 per ounce.

a) What is the value of a cubic foot of platinum?

b) How much does the cubic foot of platinum weigh in pounds?

a) 1 ounce = 28.3495 grams

Now 1 ounce cost = $ 1.309

=> 28.3495 grams = $ 1.309

=> 1 gram = $ 1.309 /28.349

=> 21.46 grams = (1.309 /28.349) *21.46 = $ 0.9909

Now density = 21.46 g/cm3 hence in 1 cm^3 we have 21.46 grams

=> 0.023795 ft^3 = 21.46 grams

Now we know that 21.46 grams cost = $ 0.9909

Therefore 0.023795 ft^3 = $ 0.9909

1 ft^3 = $ 0.9909/0.023795 = $ 1.0000025

b) we know density= mass/volume => mass = density* volume

density = 21.46 g/cm3 hence in 1 cm^3 we have 21.46 grams

=> 0.023795 ft^3 = 21.46 grams

mass = 21. 46 / 0.023795 = 901.870141 grams

Now 1 gram = 0.00220462 pounds

Hence 901.870141 grams = 901.870141 *0.00220462 = 1.988 pounds