1. Choose the most appropriate (reasonably close) answer... 
   1. The radius of a (12 oz) soda can is about:

      1.2 mm 1.2 ft

      1.2 cm 1.2 in

   2. The Circumference of an average-sized lemon would be about:

      20 in 20 cm

      20 mm 20 m

   3. The volume of a small aquarium would be about:

      1 qt 10 gal

      100 mL 10,000 L

   
   
    
2. An LPG (liquified propane gas) tank is shown in the illustration below.  How many gallons of propane could this tank hold?
    
   
    
3. The U.S. Postal Service has certain requirements regarding the size of packages to be mailed.  The girth (see illustration below) plus the length cannot exceed 108 inches.  If a package/box is to have maximum volume and minimum surface area, it must be a cube (i.e., l = w = h).
   1. For the largest such possible package/box, show that the measure of any side will be 21.6 inches.
   2. Find the volume (in cubic feet) of the package/box which meets these requirements.
   3. What is the surface area of this same package/box in square feet?
   
   
    
4. The [1979] 280-Z automobile, built by Datsun (now Nissan), has a 6-cylinder engine where the "bore × stroke" of each cylinder is "8.6 cm × 7.9 cm."  Show that the car has an engine size (a.k.a. displacement) of about 2800 cc, when rounded to the nearest hundred.
   
    
5. The [1994] Italian made Ferrari 456GT automobile has a V-12 engine where each cylinder was designed with a "bore × stroke" of "88 mm × 75 mm."  Find the car's engine size (a.k.a. displacement) when measured in:

   cubic centimeters (cc) liters (L) cubic inches (in3)

   
   
    
6. Density (ρ) is defined to be the mass (or its weight) divided by its volume (i.e., ρ = m/v). 

   a.	The density of water (H2O) is 1.00 g/cc.  How many pounds does one gallon of water weigh?
   b.	The density of lead (Pb) is 11.35 g/cc.  How many pounds would a gallon of molten lead weigh?

   
   
    
7. 
   A twin-size water bed has a water-filled mattress, rectangular in shape, which has dimensions of 6 ft (length) by 4 ft (wide) by 6 in (thick).  How much would this mattress weigh, when full, in pounds?  Hint: Use a result from the previous problem (see #6a, above).
   
    
8. A cylindrical water tank holds 8000 gallons and it has a height = 50 ³/8", find the: 
   1. volume/capacity of the tank in ft3.
   2. diameter of the tank in feet.
   3. minimum-sized cover, to fit the top of the tank, in ft2.
   4. cover size needed if it must over-hang the top rim (i.e., circumference) of the tank by 1 ft.
   
   
    
9. A refrigerator has two (rectangular box) compartments, side by side.  One side has interior dimensions of being 16" wide, 25" deep, and 57.5" high; while the freezer has interior dimensions of being 10" wide, 25" deep, and 57.5" high (also).  What is the capacity (volume) of the entire refrigerator in cubic feet?
   
   
    
10. Humans breathe with a resting rate of about 15 breaths per minute and each breath utilizes about 250 mL of oxygen (O2).  Air is generally 78% nitrogen (N2) and 21% O2.  If you were trapped in a sealed rectangular space whose dimensions are 2 meters by 5 meters by 10 meters, then how long until the oxygen supply is completely consumed?
    
     
11. Realistically, a person becomes subject to suffocation once the carbon dioxide (CO2) levels reach the 4% level, and normal breathing typically results in 50% of the O2 inhaled being respired as CO2.  In the same confined space and with the same breathing rate as described in the previous problem (#10 above), how long until the CO2 concentration reaches a dangerous level?
    
     
12. If you panic and/or are subject to strenuous exertion, then your breathing rate could increase to ten times the normal rate, given in problem #10 (above).  Under such circumstances,
    1. what would be your breathing rate in liters per minute?
    2. If you were trapped in the same space as the previous problems, #10 & #11 (above), then how long might you expect to have until the CO2 begins to suffocate you?