Study GuideSurface Area of Prisms and CylindersPrisms are polyhedrons with congruent polygonal bases inparallel planes. Cylinders have congruent and parallel circularbases. An altitude is a perpendicular segment joining the planesof the bases. The length of an altitude is the height of thefigure. Right prisms have lateral edges that are altitudes. Aright cylinder is one whose axis is an altitude.

Student EditionPages 591-598

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In the following formulas, L is lateral and T is total surface area.

Prisms L =PhT=Ph + 2B

Cylinders L = 2'ITrhT= 2'ITrh + 2'ITr2

Example: Find the surface area of the right cylinder.

T = 2'ITrh + 2'ITr2T = 21T(3.5)(6) + 21T(3.5)2T = 66.5'IT or about 208.92 cm''

3.5cm

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Find the lateral area and the surface area of each right prismor right cylinder. Round your answers to the nearest tenth.1.

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:'Prc,cUceSurface A,reaof Prisms-and CylindersUse the rightcyiinders ehown to answer each of the tollowing.Express,alhanswers in terms Of1T. .

1. Find the circumference 2. Find the lateral area.of the base.

3. Find the area of a base. 4. Find the surface area.

5; Find the circumference_of the base.

6. Find the lateral area.

7. Find the area of a base. 8. Find the surface area.

10cm

20 ft

Find the lateral area and the surface-area of eecn right prism.Round to the nearest tenth.

9. 10.

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Geometry