FCAT Reference Sheet

Grades 9-10 Mathematics Reference SheetArea Triangle Rectangle Trapezoid Parallelogram Circle Right Circular Cone A = A = A = A = A = KEY b = base d = diameter h = height r = radius l = length w = width l = slant height A =area C = circumference V = volume S.A. = surface area Use 3.14 or 22 7 for π. 12 bh l w 1 2 h(b1 +b2) bh π r2 Circumference C = πd = 2πr Volume Total Surface Area 11 V =3 πr2h S.A. = 2(2πr)l + πr2 = πrl+ πr2 1Square Pyramid V =3 l wh S.A. =4( 21 l l) + l 2 =2ll+ l 2 4Sphere V =3 πr3 S.A. =4πr2 Right Circular V = πr2h S.A. =2πrh +2πr2 Cylinder Rectangular Solid V = l wh S.A. =2(l w) +2(hw) + 2(l h) In the following formulas, n represents the number of sides. In a polygon, the sum of the measures of the interior angles is equal to 180(n − 2). In a regular polygon, the measure of an interior angle is equal to 180(n − 2) n . Grades 9-10 Mathematics Reference SheetPythagorean theorem: c2 =a2 +b2 c b a Distance between two points P1 (x1, y1) and P2 (x2, y2): (x2 -x1)2 + (y2 -y1)2 Midpoint between two points P1 (x1, y1) and P2 (x2, y2): x2 + x1 2 , y2 + y1 2 I = prt Slope-intercept form of an equation of a line, where m = slope and b = the y-intercept. y = mx + b d = rt Distance, rate, time formula, where d = distance, r = rate, t = time. )( Simple interest formula, where p = principal, r = rate, t = time. Conversions1 yard = 3 feet = 36 inches1 mile = 1,760 yards = 5,280 feet1 acre = 43,560 square feet1 hour = 60 minutes1 minute = 60 seconds1 liter = 1000 milliliters = 1000 cubic centimeters1 meter = 100 centimeters = 1000 millimeters1 kilometer = 1000 meters1 gram = 1000 milligrams1 kilogram = 1000 grams1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 pound = 16 ounces 1 ton = 2,000 pounds Metric numbers with four digits are presented without a comma (e.g., 9960 kilometers). For metric numbers greater than four digits, a space is used instead of a comma (e.g., 12 500 liters).