Surface Area of Pyramids and Cones

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Author: Leif Park Jordan

Description:

Derive and apply the formula for finding the surface area of a pyramid and cone, being sure to discuss units.
Present how to find the lateral area of pyramids and cones.
Define slant height and demonstrate how to find the slant height of a cone and pyramid when given the height using the Pythagorean theorem.
Provide practice examples solving for the surface area of pyramids and cones, and review how to report the answer in terms of pi () for cones.

This packet should help a learner seeking to understand how to find the surface area and lateral area of pyramids and cones.

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Tutorial

Slant Height

This video defines slant height and demonstrates how to find the slant height of a cone and pyramid when given the height using the Pythagorean theorem.

Surface Area of a Pyramid

This video presents the formula for the surface area of a pyramid.

Source: Dr. Ann Sur on Guaranteach

Surface Area of a Cone

This video explains how to find he surface area of a right circular cone.

Source: Dr. Ann Sur on Guaranteach

Lateral Area of a Pyramid

This video presents how to find the lateral area of a pyramid.

Lateral Area of a Cone

This video presents how to find the lateral area of a cone.

An Example of Finding the Surface Area of a Pyramid

This video provides an example of solving for the surface area of a pyramid.

Source: Dr. Ann Sur on Guaranteach

An example of Finding the Surface Area of a Cone

This video provides an example of solving for the surface area of a cone. NOTE: In some cases, it is more valuable to express your answer in terms of pi (for example, 25π rather than 78.5).