Volume and Area related equations

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Volume and Area related equations

Collection of equations to calculate volume and area for objects commonly found in many physics problems.

Equations to calculate volume for common objects

Object	Volume / Area
Sphere	r - radius
Rectangular Prism / Rectangular Parallelepiped	L - length H - height W - width
Cube / Regular Hexahedron	L - length
Right Circular Cone	Lateral Surface Area Total Surface Area h - height r - base radius s - slant height
Right Circular Cylinder	Lateral surface area Total Surface Area h - height r - base radius
Pyramid Pyramid	Lateral surface area Total surface area B - base area h - height of the pyramid P - perimeter of the base S - slant height
Regular Tetrahedron	a - length of an edge
Regular Octahedron	a - length of an edge
Regular Dodecahedron	a - length of an edge
Regular Icosahedron	a - length of an edge
Partially Filled Lying Down Cylinder R - radius h - partially filled height l - length
Barrel	r - radius h - height
Ellipsoid a - major axis b - minor axis c - vertical axis where p = 1.6075
Torus	r - radius R - distance from the center of the tube to the center of the torus