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