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 meter = 1000 millimeters

1 meter = 100 centimeters

1 kilometer = 1000 meters

1 kilogram = 1000 grams

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

\(\begin{equation} 1 \text { inch } \approx 2.54 \text{ centimeters} \end{equation} \)

\(\begin{equation} 1 \text { meter } \approx 1.09 \text{ yards} \end{equation} \)

\(\begin{equation} 1 \text { mile } \approx 1.61 \text{ kilometers} \end{equation} \)

\(\begin{equation} 1 \text { kilogram } \approx 2.20 \text{ pounds} \end{equation} \)

\(\begin{equation} 1 \text { liter } \approx 0.2642 \text{ gallons} \end{equation} \)

\(\begin{equation} 1 \text { ft }^{3} \approx 7.48 \text{ gallons} \end{equation} \)

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

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