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
images/polyhedra.js?mode=tetrahedron
Surface Area
When side faces are the same:
Surface Area = [Base Area] + 1 2 × Perimeter × [Slant Length]
Example: Base Area is 28, Perimeter is 20, Slant length is 5
Surface Area = [Base Area] +
1
2
× Perimeter × [Slant 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
