Conversion tables - customary units

Learning Objectives Identify the standard customary units of length (inch, foot, yard, mile). Construct and use conversion factors from a conversion table to change between customary units. Convert all side lengths of a right triangle to a single, consistent customary unit before performing calculations. Apply the Pythagorean theorem to right triangles with side lengths given in different customary units. Calculate trigonometric ratios for right triangles after converting side lengths to a common unit. Solve multi-step word problems involving right triangles and customary unit conversions. Ever tried to build a ramp and realized your measurements are in feet but the wood is sold by the inch? 📏 Let's see how to make those units work together! This tutorial connects you...

TermDefinitionExample Customary Units of LengthThe system of measurement for length primarily used in the United States. The most common units are inches (in), feet (ft), yards (yd), and miles (mi).A standard ruler is 1 foot long, which is also 12 inches long. Conversion TableA chart that shows the equivalent values for different units of measurement within the same system.A table showing that 1 yard = 3 feet, and 1 foot = 12 inches. Conversion FactorA ratio (or fraction) derived from a unit equality, used to convert a measurement from one unit to another. The value of the ratio is always equal to 1.To convert feet to inches, you can use the conversion factor (12 inches / 1 foot). Dimensional AnalysisA problem-solving method that uses the fact that any number or expression can be multipli...

Fundamental Length Conversions 1 \text{ foot} = 12 \text{ inches} \\ 1 \text{ yard} = 3 \text{ feet} \\ 1 \text{ mile} = 5280 \text{ feet} These are the foundational equalities for the customary system of length. Memorize these to create conversion factors for any length conversion problem. Conversion Factor Setup \text{Original Quantity} \times \frac{\text{New Unit}}{\text{Original Unit}} = \text{New Quantity} To convert, multiply your original measurement by a fraction. The denominator of the fraction must have the unit you are trying to cancel, and the numerator must have the unit you want to end up with. Pythagorean Theorem a^2 + b^2 = c^2 In a right triangle with legs 'a' and 'b' and hypotenuse 'c', this formula relates the side len...