Math Flashcards - Volume and Measurement

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 = ?

1 yard Signup and view all the answers

0.45 kilograms = ?

1 pound Signup and view all the answers

What is the formula for the area of a circle?

A = πr² Signup and view all the answers

What is the formula for the surface area of a cylinder?

S = 2πr² + 2πrh Signup and view all the answers

What is the formula for the area of a triangle?

A = 1/2bh Signup and view all the answers

What is the formula for the volume of a box (rectangular solid)?

V = lwh Signup and view all the answers

What is the formula for the area of a rectangle?

A = lw or A = bh Signup and view all the answers

What is the formula for the volume of a sphere?

V = 4/3πr³ Signup and view all the answers

What is the formula for the surface area of a box (rectangular solid)?

SA = 2lw + 2lh + 2wh Signup and view all the answers

What is the formula for the circumference of a circle?

C = πd or C = 2πr Signup and view all the answers

What is the formula for the volume of a cone?

V = 1/3πr²h Signup and view all the answers

What is the formula for the perimeter of a rectangle?

P = 2L + 2W Signup and view all the answers

What is the formula for the perimeter of a square?

P = 4s Signup and view all the answers

How many feet are there in one mile?

5280 Signup and view all the answers

What is the formula for the area of a square?

A = s² Signup and view all the answers

1 g = ?

1000 mg Signup and view all the answers

1 kg = ?

1000 g Signup and view all the answers

1000 mL = ?

1 L Signup and view all the answers

What does ≤ represent?

less than or equal to Signup and view all the answers

What does ≥ represent?

greater than or equal to Signup and view all the answers

What does < represent?

less than Signup and view all the answers

What does > represent?

greater than Signup and view all the answers

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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Description

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.