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3D Shape of a Pyramid

Chart
University (Grade 13)
English (UK)

3D Shape of a Pyramid

Description of a 3D Pyramid

A pyramid is a three-dimensional geometric solid with a polygonal base and triangular faces that converge at a single point called the apex. The most common pyramid is the square pyramid, which has a square base and four triangular faces.
Key properties:
  • Base: Any polygon (commonly square or triangular)
  • Faces: Triangles, one for each side of the base
  • Apex: All triangular faces meet at a single point
  • Edges: Equal to the number of base sides plus the same number from the apex to each base vertex
  • Vertices: Base vertices plus the apex
Mathematical formulas for a square pyramid:
  • Volume:

where $b$ is the length of the base and $h$ is the vertical height from the base to the apex.
  • Surface Area:

where $b$ is the base length and $h$ is the height.
Below is a 3D plot of a square pyramid.
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