Measurement and Geometry Unit

Formula Sheet


Area Formulas
Circle \begin{equation} A = \pi r^{2} \end{equation}
Rectangle \begin{equation} A = lw \end{equation}
Triangle \begin{equation} A = \frac{1}{2} b h \end{equation}
Trapezoid \begin{equation} A = \frac{1}{2} h (b_1 + b_2) \end{equation}
Parallelogram \begin{equation} A = b h \end{equation}
Volume Surface Area
Rectangular Prism \begin{equation} V = l w h \end{equation} \begin{equation} SA = 2lw + 2lh + 2wh \end{equation}
Right Circular Cylinder \begin{equation} V = \pi r^{2} h \end{equation} \begin{equation} SA = 2 \pi r^{2} + 2 \pi rh \end{equation}
Sphere \begin{equation} V = \frac{4}{3} \pi r^{3} \end{equation} \begin{equation} SA = 4 \pi r^{2} \end{equation}

Circumference of a Circle: \( C = \pi d\) or \( C = 2 \pi r\)

1 m, L, g, W = 1000 milli(m, L, g, W)

1 m, L, g, W = 100 centi(m, L, g, W)

1 kilo(m, L, g, W) = 1000 m, L, g, W

10 milli(m, L, g, W) = 1 centi(m, L, g, W)

1 foot = 12 inches

1 yard = 3 feet

1 mile = 5280 feet

1 mile = 1760 yards

1 pound = 16 ounces

1 US ton = 2000 pounds

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 ounces

1 inch \(\approx\) 2.54 centimeters

1 meter \(\approx\) 1.09 yards

1 mile \(\approx\) 1.61 kilometers

1 kilogram \(\approx\) 2.20 pounds

1 liter \(\approx\) 0.2642 gallons

1 \({ ft }^{3}\) \(\approx\) 7.48 gallons

\( \begin{equation} F = \frac{9}{5} C + 32 \end{equation} \)       \( \begin{equation} C = \frac{5}{9} (F - 32) \end{equation} \)