Custom Thermoelectric - Peltier

# Geometric

Formulas for Calculating Area and Volume

Area of Triangle, Acute

Area of Triangle, Right

Area of Triangle, Obtuse

Area of Triangle, 3 side lengths known Also known as Heron's formula

Area of a Rectangle

Area of Regular Polygons (Any number of sides)

First find the apothem, which is the distance from the center of the polygon to the midpoint of any side. If the apothem is unknown, then calculate it based on knowing the length of a side L and the number of sides n.

Volumes

Volume and Surface Area of a Sphere

Volume and Surface Area of a Rectangular Prism (box)

Volume and Surface Area of a Cube

Volume and Surface Area of a Right Cone

Volume and Surface Area of a Right Cylinder

Volume and Surface Area of a Right Pyramid (any number of sides)

First find the area of the base B and the perimeter of the base P.  Use the "Area of a regular Polygon" formula from above if needed.

To calculate the surface area, first calculate the Slant Height s, then calculate the areas using the following formulas.

Volume and Surface Area of a Regular Tetrahedron

Volume and Surface Area of a Regular Octahedron

Volume and Surface Area of a Regular Dodecahedron

Volume and Surface Area of a Regular Icosahedron

Volume of a Partially Filled Lying down Cylinder

Volume of a Barrel

Volume and Surface Area of an Ellipsoid

Volume and Surface Area of a Torus (doughnut shape)

Where R is the distance from the center of the tube to the center of the Torus and r is the radius of the tube.