Math Flashcards - Volume and Measurement

Volume Formulas

• Volume of a cylinder: V = πr²h (pi times radius squared times height)
• Volume of a sphere: V = 4/3πr³ (four-thirds times pi times radius cubed)
• Volume of a cone: V = 1/3πr²h (one-third times pi times radius squared times height)
• Volume of a box (rectangular solid): V = lwh (length times width times height)

Area Formulas

• Area of a circle: A = πr² (pi times radius squared)
• Area of a triangle: A = 1/2bh (one half times base times height)
• Area of a rectangle: A = lw or A = bh (length times width or base times height)
• Area of a square: A = s² (side squared)

Surface Area Formulas

• Surface area of a cylinder: SA = 2πr² + 2πrh (twice pi times radius squared plus twice pi times radius times height)
• Surface area of a box (rectangular solid): SA = 2lw + 2lh + 2wh (sum of the areas of all rectangular faces)

Perimeter and Circumference Formulas

• Perimeter of a rectangle: P = 2L + 2W (twice the length plus twice the width)
• Perimeter of a square: P = 4s (four times the side length)
• Circumference of a circle: C = πd or C = 2πr (either pi times diameter or twice pi times radius)

Length and Weight Conversions

• 12 inches = 1 foot
• 2.2 pounds = 1 kilogram
• 3 feet = 1 yard
• 0.45 kilograms = 1 pound
• 5280 feet = 1 mile

Mass Conversions

• 1 gram = 1000 milligrams
• 1 kilogram = 1000 grams
• 1000 milliliters = 1 liter

Mathematical Symbols

• ≤: less than or equal to
• ≥: greater than or equal to
• <: less than
• >: greater than