6. Jan has a 18"x18"x12" gift box that needs to be placed carefully into a 2'x2'x2' shipping carton, surrounded by packing peanuts. Note that the symbol " is an abbreviation for inches and ' for feet.
a. How many 1-cubic-foot bags of peanuts does Jan need to buy?
b. Jan opens one bag of peanuts and spreads them evenly on the bottom of the shipping carton. What is the resulting depth of the peanuts?
c. Jan centers the square base of the gift box on the peanut layer, pours in another bag of peanuts, and spreads them around evenly. Now how deep are the peanuts?
d. Explain how you know the third bag of peanuts will cover the gift box.