Surface Area

Videos

Finding the Surface Area of Cubes

Explore how to find the surface area of a cube. Start with a net and then put that into a formula. Then learn how to use that formula on your own.

Finding the Surface Area of Rectangular Prisms

Explore how to find the surface area of a prism. Start with a net and then put that into a formula. Then learn how to use that formula on your own.

Find the Surface Area of All Prisms

Explore how to find the surface area of any prism starting with a net of a triangular prism. Then use what you learn, to build a formula for the surface area of any prism. Then learn how to use that formula on your own.

Find the Surface Area of Any Pyramid

Explore how to find the surface area of any pyramid starting with a net of a rectangular pyramid. Then use what you learn, to build a formula for the surface area other pyramids.

Find the Surface Area of Regular Pyramids

Explore how to find the surface area of pyramid with a regular polygon base starting with a net of a rectangular pyramid. Then use what you learn, to build a formula for pyramids with regular base.

Using the Pythagorean Theorem to Find the Slant Height of a Pyramid

In order to find the surface area of a pyramid, we need to know the slant height of the triangular lateral faces. See how we can build a right triangle in our pyramid in order to use the Pythagorean Theorem to find slant height.

Finding the Lateral Surface Area

Explore how to find the surface area of a pyramid with a regular polygon base starting with a net of a rectangular pyramid. Refine what you know about finding the surface area of any polygon into a formula for pyramids with regular basis.

How to find the Surface Area of a Cylinder

Use a net to find the surface area of a cylinder and derive an equation for the surface area of any cylinder.

How to find the Surface Area of a Cone

Use the relationship between the equations for surface area of a prism and cylinder to predict a relationship between the equations for surface area of a pyramid and cone.

How to find the Surface Area of a Sphere

Use the relationship between the surface area of a sphere and the lateral surface area of a cylinder with the same dimensions to develop an equation for the surface area of the sphere. This relationship was first discovered by Archimedes. For more information on how Archimedes discovered this relationship, please visit: https://bit.ly/2RKnue0

How to find the Surface Area of a Hemisphere

Use the relationship between the surface area of a sphere and hemisphere to find the equation for surface area of a hemisphere.