Surface area of prisms, cylinders, pyramids, cones, spheres

What you'll learn

1. Explain the difference between lateral surface area (LSA) and total surface area (TSA) and determine which is being asked for in a problem
2. Compute the surface area of right prisms (rectangular, triangular) and cylinders using LSA = Ph and TSA = LSA + 2B
3. Compute the surface area of regular pyramids and cones using LSA = 1/2 Pl and LSA = πrl, and find TSA by adding the base area
4. Apply the sphere formula SA = 4πr² (no LSA/TSA distinction)
5. Solve ACT-style problems that require computing slant height via the Pythagorean theorem before applying a surface area formula

Prerequisites

• Area and perimeter of triangles
• Circumference and area
• Volume of prisms, cylinders, pyramids, cones, spheres