Volume Prisms Cylinder

In this Geometry lesson, we learn how to find the **surface area of three-dimensional figures**, including prisms and cylinders. Instead of simply memorizing formulas, focus on what surface area actually represents: *the total area of all the outside surfaces of a three-dimensional figure.* *After watching this lesson, you should be able to:* Explain what surface area represents. Identify the faces and dimensions of a prism. Use a net or formula to determine the surface area of a prism. Identify the radius, height, and circular bases of a cylinder. Find the lateral area and total surface area of a cylinder. Use the appropriate measurements and formulas to solve surface-area problems. Include appropriate square units in your final answer. *Key Vocabulary:* Surface Area • Prism • Cylinder • Face • Base • Lateral Area • Radius • Height • Net *Important Ideas:* Surface Area = the total area covering the outside of a 3D figure. For a prism, find the areas of the faces and combine them. For a cylinder: SA = 2πr^2 + 2πrh where: r = radius h = height 2πr^2 represents the two circular bases 2πrh represents the curved lateral surface Remember: *Surface area is measured in square units.*