Ximpledu

Pyramid (Geometry)

See how to find the surface area/volume of a pyramid.
3 examples and their solutions.

Pyramid

Definition

A pyramid is a 3D figure
that has a vertex, a polygon base,
and triangle lateral faces.

Regular Pyramid

Definition

A regular pyramid is a pyramid
whose base is a regular polygon
and whose lateral faces are
all congruent isosceles triangles.
So the vertex and the center of the base
are the endpoints of the height.

Regular Pyramid: Surface Area

Formula


A = B + 12Phs
= (base area) + (lateral area)
P: perimeter of the base
hs: slant height

Example

Surface area?

Solution

Pyramid: Volume

Formula


V = 13Bh

Example

Volume?

Solution

Example

Volume?

Solution