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Published byDale Bond Modified over 5 years ago

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PrismsPyramids Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Pentagonal Prism Hexagonal Pyramid

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BASE HEIGHT

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Right Prism Oblique Prism height

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Base Height Lateral Surface

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Lateral Area (LA): the sum of the areas of the solid’s lateral surfaces P = PERIMETER of base (add all sides of the base) B = area of BASE (use different formulas according to the shape of the base) h = HEIGHT of the solid Total Surface Area (TA or SA): the sum of the areas of all of its surfaces

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Formulas for PRISMS LA = Ph Lateral Area = Perimeter of Base height of prism SA = Ph + 2B Surface Area = Perimeter of Base height of prism + 2 Area of Base

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EX:1 Find the lateral area. (One base is the side that is on the ground.) 2.1 cm 3.6 cm 6.8 cm LA = 43.68 cm 2

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EX:2 Find the surface area. 2.1 cm 3.6 cm 6.8 cm SA = 92.64 cm 2

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EX:3 Find the lateral area. (One base is the side that is on the ground.) 6 m 8 m 9 m LA = 216 m 2

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EX:4 Find the surface area. (One base is the side that is on the ground.) 6 m 8 m 9 m SA = 264 m 2

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Formulas for Cylinders LA = 2 rh SA = 2 rh + 2 r 2

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EX:5 Find the lateral area. Round to the nearest tenth. 5 cm 3.8 cm

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EX:6 Find the surface area. Round to the nearest tenth. 5 cm 3.8 cm SA = 2 rh + 2 r 2

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Surface Area of Pyramids and Cones Section 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone

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Pyramids are classified by the shapes of their bases

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Surface Area verses Lateral Area of a Pyramid The lateral area of a pyramid: LA = P = Perimeter of the base l = slant height The surface area of a pyramid: SA = B = Area of the base

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Example

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Surface Area verses Lateral Area of a Cone The lateral area of a cone: LA = r = radius of the base l = slant height The surface area of a cone: SA =

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Example

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Students

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