Triangular Pyramid

Go to Surface Area or Volume.

Triangular Pyramid Facts

Notice these interesting things:

  • It has 4 Faces
  • The 3 Side Faces are Triangles
  • The Base is also a Triangle
  • It has 4 Vertices (corner points)
  • It has 6 Edges
  • It is also a Tetrahedron

 

hexahedron

Surface Area

When side faces are the same:

Surface Area = [Base Area] + 1 2 × Perimeter × [Side Length]

Example: Base Area is 28, Perimeter is 20, Side length is 5

Surface Area   = [Base Area] + 1 2 × Perimeter × [Side Length]
    = 28 + 1 2 × 20 × 5
    = 28 + 50
    = 78

When side faces are different we can calculate the area of the base and each triangular face separately and then add them up.

Volume

Volume = 1 3 × [Base Area] × Height

Example: base area is 28, height is 4.5

Volume   = 1 3 × [Base Area] × Height
    = 1 3 × 28 × 4.5
    = 1 3 × 126
    = 42