Gr. 6, 7, 8 ISTEP + Mathematics Reference Sheet Figure Formulas for Area (A) and Circumference (C) Triangle A=1 bh 2 Area = 2 base height Rectangle A = lw Area = length width Trapezoid A=1 h (b1 b2) 2 height sum of bases Area = 1 2 Parallelogram A = bh Area = base height Square A = s2 Area = side side 2 Circle Figure 1 Area = square of radius A = r Circumference = 2 radius C = 2r 3.14 or 22 7 Formulas for Volume (V) and Surface Area (SA) V = lwh Rectangular Prism Volume = length width height SA = 2lw 2hw 2lh Surface Area = 2(length width) 2(height width) 2(length height) V = r2h Cylinder SA = 2r2 2rh Volume = square of radius height Surface Area = 2 square of radius 2 radius height Conversions 1 1 1 1 foot = 12 inches yard = 3 feet mile = 5,280 feet mile = 1,760 yards 1 pound = 16 ounces 1 ton = 2,000 pounds S14 Secure material Do not reproduce or discuss contents. 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 meter = 1000 millimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters 1 1 1 1 1 gram = 1000 milligrams 1 kilogram = 1000 grams cup = 8 fluid ounces pint = 2 cups quart = 2 pints gallon = 4 quarts 1 liter = 1000 cubic centimeters 1 liter = 1000 milliliters Page 109 Gr. 7, 8 only Figure Formulas for Volume (V) and Surface Area (SA) General Prisms V = Bh Sphere V = 4 r3 Volume = area of base height Surface Area = sum of the areas of the faces 4 Volume = 3 cube of radius Surface Area = 4 square of radius 3 SA = 4r2 Right Circular Cone V = 1 r h Volume = 1 square of 3 radius height Regular Pyramid V = 1 Bh Volume = 1 area of base 3 height 2 3 3 3.14 or 22 7 Simple Interest Formula Slope-Intercept Form I = prt y = mx b where m = slope and b = y-intercept where I = interest, p = principal, r = rate, and t = time in years Pythagorean Theorem Temperature Formulas c a 2 2 a b =c 2 b °C = 5 (F 32) 9 °Celsius = 5 (°Fahrenheit 32) 9 °F = 9 C 32 5 Distance Formula °Fahrenheit = 9 °Celsius 32 5 d = rt where d = distance, r = rate, and t = time Page 110 S14 Secure material Do not reproduce or discuss contents.

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