Surface Area of 3-D Shapes

Surface Area of Prisms

This video covers how to find the surface area of a prism in two ways: 1) the "lateral area" method that uses perimeter; and 2) the way you'll actually remember 3 months from now, which is adding up the surface area from its parts. Also important: how not to find the area of an oblique prism.

Surface Area of Cylinders

Finding the area of a cylinder is pretty similar to finding the surface area of a prism, though there is a new formula to remember. Plus there's that pi thing.

Surface Area of Pyramids & Cones

These are the most confusing surface area problems because there's "slant height" to worry about. How does slant height compare to the height of the prism, and what is the lateral edge? Stick around and learn the answers to these questions and more.

Surface Area of Spheres

Strangely, spheres are actually the easiest shape to find the surface area of because there aren't a lot of ways for a teacher to make a tricky sphere problem. There's no height to worry about. They can't be oblique. There's no chance you're going to add the sides up wrong. But you should still watch this video, obviously, for the "great circle" discussion if nothing else.

Surface Area Word Problems

The easier problems cover more typical problems you'd see in a regular geometry class, where they're just asking you to find the area of a basketball or pyramid. But then we get into tougher stuff, like calculating the weight of an object by multiplying surface area times density, and how fast the surface area of an object changes when you increase its size.