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Surface Areas of Prisms and Cylinders

- 12-2

Prisms

- A Prism is a polyhedron with two congruent,

parallel bases. - The other faces are lateral faces.
- A prism is named for the shape of its bases.

- An altitude of a prism is a perpendicular segment

that joins the planes of the bases. - The height h of the prism is the length of an

altitude. - A prism may be either right or oblique.

- In a right prism the lateral faces are rectangles

and a lateral edge is an altitude

h

- In an oblique prism the lateral edge is not the

height.

Lateral/Surface area

- The lateral area of a prism is the sum of the

areas of the lateral faces. - The surface area is the sum of areas of the

lateral faces and the two bases.

Lateral and Surface areas of Right Prisms

- The lateral area of a right prism is the product

of the perimeter of the base and the height. - L.A. ph
- The surface area of a right prism is the sum of

the lateral area and the areas of the two bases. - S.A. LA 2B

Cylinder

- Cylinder has two parallel circles as its bases.

They can also be right or oblique

r

r

h

h

Lateral and Surface areas of right cylinders

- The lateral area of a right cylinder is the

product of the circumference of the base and the

height of the cylinder - LA 2prh or pdh
- The surface area of a right cylinder is the sum

of the lateral area and the areas of the two

bases. - SA LA 2B

Joke time

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