Dimensional Analysis Problem Help

Question

An iceberg has a volume of 2975 ft3. What is the mass of the iceberg in kilograms if the density of the ice is 0.917 g/cm3?

Answer 1

First, we need to know how many cm³ are in a ft³ : 1 ft³ = 28316.8 cm³.

And how many grams are in 1 kg: 1000 g = 1 kg

Now we start the dimensional analysis:

2975 ft³ ( 28316.8 cm³/1 ft³) (0.917 g/cm³)(1 kg/1000g) =77,250 kg