Decomposable Solids.

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Presentation transcript:

Decomposable Solids

What are decomposable solids? Many different solids molded together: Hemi sphere Cone

How would you calculate the surface area of them? Break the shape into its individual shapes and calculate their area separately.

Area of hemisphere 1) Formula 4∏ 𝑟 2 ÷2 2) Plug in your numbers: Calculations Hemi spheres 1) Formula 4∏ 𝑟 2 ÷2 2) Plug in your numbers: 4∏ 4 2 ÷2 3) Solve: 200.96 ÷2 =100.48 cm^2 4

Area of the cone: 1) Formula: ∏ 𝑟 2 + ∏r(slant height) Calculations Cone 1) Formula: ∏ 𝑟 2 + ∏r(slant height) 2) Plug in numbers: ∏ 3 2 +∏(3)(5) 3) Solve: 28.26 + 47.12 75.38 cm^2 5 3

Total surface Area 75.38 100.48 175.86

Example Find the surface area of the following solid: 3 3 4 5