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Surface Area of Pyramids & Cones. Vocabulary:. Slant Height of a pyramid or cone is measured along its lateral surface. Regular Pyramid is a regular polygon, & the lateral faces are all congruent. Right Cone
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Vocabulary: Slant Height of a pyramid or cone is measured along its lateral surface. Regular Pyramid is a regular polygon, & the lateral faces are all congruent. Right Cone is a line perpendicular to the base through the tip of the cone it passes through the center of the base.
Formulas Pyramid- S=B+1/2Pl or S=B+F Cone- S=B+L
Pyramid Example: 2in S=B+1/2Pl =(1.5x1.5)+1/2(6)(2) =8.25in2 1.5
Cone Example 2 m 5 m S=pi r2+pi r l =(2)2+pi(2)(5) 14 pi =14pi~44.0m2
A cone has a diameter 10in and slant height 8in. Tell whether doubling both dimensions would double the surface area. Answer- NO The cone shaped Wigwams Village Motel in Cave City, Kentucky are about 20ft high and have a diameter if 20ft. Estimate the lateral surface area of a wigwam. Answer- 702.5ft2 Story problems
Problem 8 m 5m