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.
