1. Lateral and Surface Area of Solid Figures
Ms. Mougharbel

2. Lateral vs Surface Area
Lateral Area: The area of the sides of a three-dimensional geometric figure
Surface Area: The total area of the surface of a three-dimensional object.

3. Lateral Area Formulas Prism: 𝐴 𝐿 =(𝑃)(ℎ)
Pyramid: 𝐴 𝐿 =𝐴𝑟𝑒𝑎 𝑜𝑓 𝑙𝑎𝑡𝑒𝑟𝑎𝑙 𝑠𝑖𝑑𝑒𝑠 𝑎𝑑𝑑𝑒𝑑 𝑡𝑜𝑔𝑒𝑡ℎ𝑒𝑟
Cylinder: 𝐴 𝐿 =2𝜋𝑟ℎ
Cone: 𝐴 𝐿 = π𝑟 ℎ 2 + 𝑟 2

4. Surface Area Formulas Prism/Pyramid: Area of ALL sides added together
Cylinder: 𝐴 𝑆 =2𝜋𝑟ℎ+2𝜋 𝑟 2
Cone: 𝐴 𝑆 = 𝜋𝑟(𝑟+ ℎ 2 + 𝑟 2 )
Sphere: 𝐴 𝑆 =4𝜋 𝑟 2