A triangular pyramid is a three-dimensional object with a triangle for a base and a triangular face coresponding to each side of the base. The triangular faces which are not the base are called lateral faces and meet at a point called the vertex or apex.
Usually right pyramids are studied.
In general, the volume of a pyramid is one-third the area of the base times the height of the pyramid.
Right Triangular Pyramids
b: The length of the base of the triangular base of the pyramid
H: The height of the triangular base of the pyramid
h: The height of the pyramid
V: The volume of the interior of the pyramid
In general, the surface area of a pyramid is the sum of the areas of all of the faces of the pyramid.
Right Triangular Pyramids
s1: The length of one side of the triangular base of the pyramid
s2: The length of a second side of the triangular base of the pyramid
s3: The length of the third side of the triangular base of the pyramid
H: The height of the triangular base of the pyramid (associated with s1 in this example)
h1: The height of the triangular lateral surface associated with s1 of the triangular base of the pyramid
h2: The height of the triangular lateral surface associated with s2 of the triangular base of the pyramid
h3: The height of the triangular lateral surface associated with s3 of the triangular base of the pyramid
V: The volume of the interior of the pyramid
S: The surface area of the pyramid
