Lateral and Surface Area of Solid Figures

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Presentation transcript:

Lateral and Surface Area of Solid Figures Ms. Mougharbel

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.

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

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