Name: ______Date: ______Period: _____

Dimensional Analysis with Base and Derived Units

Show your work for all problems.

Problems (Note: 1 km = 0.62 mi) (mi is the abbreviation for miles) (1 cm3 = 1 mL)

1. 37 000 mm3 to m32. 48.00 mi/hr to m/min

3. 45.3 m/s to mi/hr4. 6.4 g/L to cg/hL

5. 14.3 L to cm36. 3.00 mi3 to m3

7. 10.0 km/L to mi/gal8. 4.5 g/cm3 to kg/L

9. The Dead Sea is 377 m deep, 55 km long and 18 km wide.

  1. Calculate the approximate area covered by the Dead Sea in km2.
  2. Convert the area into m2
  3. Calculate the volume of water held in the Dead Sea in m3.
  4. Convert the volume into gallons (Hint: m3 cm3 mL  L  gal) (1 L = 0.264 gal).
  1. The Dead Sea is 9.6 times more salty than typical ocean water, which increases its density to 1.240 kg/L. Convert this value into in cg/mL.
  1. At sea level, sound waves travel at a speed of 343.2 m/s. Convert the speed of sound into km/min.
  1. The acceleration due to gravity on Earth is 9.81 m/s2. On the moon gravity is 5.76 x 105 cm/min2. Other gravity values are as follows: Jupiter 336 960 km/hr2 Saturn 0.112 hm/s2 Mercury 1.296 x 107 mm/min2.
  1. Convert each gravity value into km/s2

Earth:

Moon:

Jupiter:

Saturn:

Mercury:

  1. Arrange the given planets/moon in order of largest to smallest gravity

Word Problem

  1. A student has just returned from Germany with a car purchased while on vacation. The speedometer is calibrated in kilometers per hour (km/hr). Driving away from the pier, the student notices a sign that posts the speed limit at 35 mi/hr. What is the maximum speed that can be reached in km/hr, without having to worry about a speeding ticket?(Note: 1 km = 0.62 mi)