Questions and Answers
What is the formula for the volume of a cylinder?
V = πr²h
12 inches = ?
1 foot
2.2 pounds = ?
1 kilogram
3 feet = ?
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0.45 kilograms = ?
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What is the formula for the area of a circle?
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What is the formula for the surface area of a cylinder?
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What is the formula for the area of a triangle?
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What is the formula for the volume of a box (rectangular solid)?
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What is the formula for the area of a rectangle?
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What is the formula for the volume of a sphere?
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What is the formula for the surface area of a box (rectangular solid)?
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What is the formula for the circumference of a circle?
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What is the formula for the volume of a cone?
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What is the formula for the perimeter of a rectangle?
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What is the formula for the perimeter of a square?
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How many feet are there in one mile?
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What is the formula for the area of a square?
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1 g = ?
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1 kg = ?
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1000 mL = ?
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What does ≤ represent?
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What does ≥ represent?
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What does < represent?
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What does > represent?
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Study Notes
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
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Test your knowledge of essential math formulas and measurement conversions with these flashcards. Topics include the volume of a cylinder, unit conversions between inches, feet, pounds, kilograms, and more. Perfect for quick revision or reinforcing math concepts.