Unit Conversion Mastery Through Dimensional Analysis

What is the primary purpose of dimensional analysis?

• To determine the volume of liquids

• To calculate the area of shapes

• To convert units of measure

• To measure the length of objects

If you have 36 donuts, how can you express this quantity in dozens?

• 5 dozen

• 4 dozen

• 3 dozen

• 2 dozen

What is the conversion factor for converting inches to centimeters?

• 1 inch = 3.14 cm

• 1 inch = 2.54 cm

• 1 inch = 1.54 cm

• 1 inch = 2.00 cm

In dimensional analysis, what happens to the units that are both on the top and bottom of a fraction?

• They are multiplied

• They cancel each other out

• They are subtracted

• They are added

What is the result of converting 8.89 cm to inches using dimensional analysis?

• 2.54 inches

• 3.50 inches

• 4.00 inches

• 5.00 inches

Why do conversion factors work in dimensional analysis?

• Because they are mathematical equalities

• Because they are approximations

• Because they are derived from experiments

• Because they are constants

How many meters will you run in 0.0520 hours if it takes 14.5 seconds to run 100 meters?

• 520 meters

• 500 meters

• 400 meters

• 360 meters

What is the first step in solving a problem with multiple unit conversions?

• Convert the final unit to the initial unit

• Find the numerical relationship between units

• Multiply all units together

• Write down the quantity given in the problem

What is the density of gold in grams per cubic centimeter?

• 21.3 g/cm3

• 18.3 g/cm3

• 19.3 g/cm3

• 20.3 g/cm3

How many liters of gold will have a mass of 250 grams?

• 0.015 liters

• 0.013 liters

• 0.012 liters

• 0.010 liters