14.3 - Pyramids

Links and useful resources

• gr10's Geometry >>>START HERE<<<
• AoPS Online Textbook
• AoPS Alcumus
• Big Ideas Geometry textbook
• GeoGebra Online Geometry Constuction Tool
• Two-column math templates
• Proofs unit slides from mathgiraffe.com
• Proofs unit printables for two-column proofs

Concept summary and connections

• A pyramid has a polygon base with each vertex connected to the same point outside of the plane of the base.
• The apex of the pyramid is the point
• The base of a pyramid is the polygon, containing all vertices other than the apex.
• The slant height is the distance from the apex to a side of the base.
• The volume of a pyramid is $\frac{1}{3}h\times a_{base}$

Lesson and worked examples

Media resources

• Youtube search for "A pyramid has a polygon base with each vertex connected to the same point outside of the plane of the base."
• Youtube search for "The apex of the pyramid is the point"
• Youtube search for "The base of a pyramid is the polygon, containing all vertices other than the apex."
• Youtube search for "The slant height is the distance from the apex to a side of the base."
• Youtube search for "The volume of a pyramid is $\frac{1}{3}h\times a_{base}$"

Guided practice

• Find a formula for the surface area of a right pyramid whose base is a regular n-gon with side length s, and whose slant height is h.
• A triangular pyramid is more commonly called a tetrahedron. A regular tetrahedron is a tetrahedron whose edges all have the same length. Find the volume of a regular tetrahedron that has sides of length 6.

Homework

• #hw (geom-gr10) 14.3 Pyramids (p. 366) (gr10) 2025-03-07