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3D Shape of a Pyramid
Chart · University (Grade 13) · English (UK)
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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