RMS Important Maths Formulas

This set of flashcards covers important mathematical formulas related to areas, volumes, and geometric properties of various shapes, including circles, squares, rectangles, triangles, trapeziums, cubes, cuboids, and cylinders.

Circle Area

A = πr²

Circumference of a Circle

C = 2πr

Diameter of a Circle

d = 2r

Square Area

A = a²

Square Perimeter

P = 4a

Square Diagonal

d = a√2

Rectangle Area

A = l × b

Rectangle Perimeter

P = 2(l + b)

Rectangle Diagonal

d = √(l² + b²)

Triangle Area (General)

A = 1/2bh

Equilateral Triangle Area

A = (√3/4)a²

Isosceles Triangle Height

h = √(a² - (b²/4))

Isosceles Triangle Area

A = 1/2bh

Right Triangle Area

A = 1/2ab

Height of Any Triangle

h = 2A/b

Trapezium Area

A = 1/2(a + b)h

Height of Trapezium

h = 2A/(a + b)

Cube Volume

V = a³

Cube Total Surface Area

TSA = 6a²

Cube Lateral Surface Area

LSA = 4a²

Cube Diagonal

d = a√3

Cuboid Volume

V = lbh

Cuboid Total Surface Area

TSA = 2(lb + bh + hl)

Cuboid Lateral Surface Area

LSA = 2h(l + b)

Cuboid Diagonal

d = √(l² + b² + h²)

Cylinder Volume

V = πr²h

Cylinder Curved Surface Area

CSA = 2πrh

Cylinder Total Surface Area

TSA = 2πr(h + r)

Hypotenuse (Pythagorean Theorem)

Hypotenuse² = Base² + Height²

Finding Hypotenuse

Hypotenuse = √(b² + h²)

Finding Base

b = √(c² - h²)

Finding Height (Perpendicular)

h = √(c² - b²)