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Dimensional Analysis • Practices Problems

Problem #1 The density of a metal is 1.04 lb/in 3 .  Express this density in SI units. Problem #2 The density of a material is 55.2 lb/ft 3...


Problem #1 The density of a metal is 1.04 lb/in3.  Express this density in SI units.

Problem #2 The density of a material is 55.2 lb/ft3.  Express this density in SI units.

Problem #3 A gas station in Europe charges €1.45 euros per Liter of gasoline.  If your car has a capacity of 15.00 gallons, how much will it cost to fill the car in dollars? Consider the euro to dollar exchange is €1.00 to $1.21 and 1 gallon is equivalent to 3.79 liters.

Problem #4 Determine the volume of a sphere with a radius of 199 inches.  Provide the volume in SI units.  Consider that 1.00 inch is equivalent to 2.54 cm.

Problem #5 The density of Silver is 10.49 Kg/L.  If you have a sample of 73.6 mL, what is its mass in grams?

Problem #6 A cube has a mass of 8.2 Kg and a side length of 137.11 mm. Calculate the density of the cube in g/mL.

Problem #7 A moving object has an acceleration of 18,602 foot/minute2. What is the acceleration in SI units?

Problem #8 A 691.9 g of a composite material has a density of 0.258 lb/in3. Find its volume in mL.

Problem #9 The average speed of helium atoms in a cylinder is 1255 m/s at 25 oC. Calculate this speed in miles per hour.  Consider that 1 mile = 1609.3 m

Problem #10

How many minutes does it take the light from the sun to reach earth? The distance from the sun is 9.3 x107 miles and the speed of light is 3.00x108 m/s.

Problem #11 Provide the correct answer with the appropriate number of significant figures and units for the following math calculation.

Problem #12 Calculate the volume (in Liters) of 1.24 Kg of benzene?


Problem #13

Mg(CN)2 is sold as pellets for pest control.  It has been found that CN- can poison rats.  The lethal dose of CN- is 5 mg for a 0.25 lb rat.  If a pellet contains 0.1 mg of Mg(CN)2, how many pellets would be lethal?


To learn how to solve these problems click below.


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