Lesson 60 Geometric Solids Prisms & Cylinders. Geometric Solids right triangular prism right circular cylinder regular square pyramid right circular cone.

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Presentation transcript:

Lesson 60 Geometric Solids Prisms & Cylinders

Geometric Solids right triangular prism right circular cylinder regular square pyramid right circular cone sphere

Definitions prism: two faces are identical & parallel, other faces are parallelograms lateral edges: where the lateral faces (parallelograms) intersect altitude: perpendicular segment joining the planes of the bases height: length of the altitude

Cylinders lateral surface: curved surface between the bases axis: segment joining the centers of the bases altitude: perpendicular segment joining the planes of the bases height: length of the altitude

Volume of Prisms and Cylinders equal to the area of a base times its height

Example 60.1 The area of a base of a right pentagonal prism is 28 cm 2 and the length of a lateral edge is 10 cm. Find the volume.

Lateral Surface Area of Right Prisms & Right Cylinders equal to the perimeter of a base times the height LSA: the area of all surfaces other than the bases

Example 60.2 Find the lateral surface area of this right prism whose bases are regular pentagons. Dimensions are in meters. 15 8

Example 60.3 The area of a base of a right pentagonal prism is 34 in 2 and the length of a lateral edge is 12 in. Find the volume of the right pentagonal prism.

Example 60.4 Find the lateral surface area of this right prism whose bases are regular pentagons. Dimensions are in feet

Homework P.S even