# Equations - Geometric Shapes

AREA:

Square - length x width, or length of one side squared

Rectangle - length x width

Triangle - 1/2 x base x perpendicular height

Cube - square of the length of one side x 6

Cylinder - (2 x 3.1416 x the radius x the height) + (2 x 3.1416 x the square of the radius)

Pentagon - square of the length of one side x 1.720

Hexagon - square of the length of one side x 2.598

Octagon - square of the length of one side x 4.828

Sphere - square of the radius x 3.1416 (pi) x 4

Circle - square of the radius x 3.1416

Ellipse(1) - long diameter x short diameter x 0.7854

Rectangular Solid - (2 x height x width) + (2 x height x length) + (2 x length x width)

PERIMETER (circumference):

Square - 4 x the length of one side

Rectangle - 2 x (the length of one long side + the length of one short side)

Triangle - the length of of one side + the length of one side + the length of one side

Circle(1) - 2 x the radius x 3.1416

Circle(2) - 3.1416 x the diameter

Regular Pentagon - 5 x the length of one side

Regular Hexagon - 6 x the length of one side

VOLUME:

Cube - cube of the length of one side

Pyramid - area of the base x height x 1/3

Cylinder - square of the radius x 3.1416 x height

Sphere - 4/3 x 3.1416 x cube of the radius

Cone - square of the radius of the base x 3.1416 x height x 1/3

Rectangular Solid - length x width x height