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
\(\begin{equation} 1 \text { inch } \approx 2.54 \text{ centimeters} \end{equation} \)
\(\begin{equation} 1 \text { meter } \approx 1.09 \text{ yards} \end{equation} \)
\(\begin{equation} 1 \text { mile } \approx 1.61 \text{ kilometers} \end{equation} \)
\(\begin{equation} 1 \text { kilogram } \approx 2.20 \text{ pounds} \end{equation} \)
\(\begin{equation} 1 \text { liter } \approx 0.2642 \text{ gallons} \end{equation} \)
\(\begin{equation} 1 \text { ft }^{3} \approx 7.48 \text{ gallons} \end{equation} \)
\( \begin{equation} F = \frac{9}{5} C + 32 \end{equation} \)
\( \begin{equation} C = \frac{5}{9} (F - 32) \end{equation} \)