List of formulas in elementary geometry

This is a short list of some common mathematical shapes and figures and the formulas that describe them.

Two-dimensional shapes

Sources:

Three-dimensional shapes

This is a list of volume formulas of basic shapes:

• Cone – , where is the base's radius and is the cone's height;
• Cube – , where is the side's length;
• Cuboid – , where , , and are the sides' length;
• Cylinder – , where is the base's radius and is the cylinder's height;
• Ellipsoid – , where , , and are the semi-major and semi-minor axes' length;
• Sphere – , where is the radius;
• Parallelepiped – , where , , and are the sides' length,, and , , and are angles between the two sides;
• Prism – , where is the base's area and is the prism's height;
• Pyramid – , where is the base's area and is the pyramid's height;
• Tetrahedron – , where is the side's length.

Sphere

The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables

• is the radius,
• is the circumference (the length of any one of its great circles),
• is the surface area,
• is the volume.

Surface area:

Volume:

Radius:

Circumference:

See also

References