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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. Prisms. Pyramids. Pentagonal Prism. Hexagonal Pyramid. Prisms. BASE. HEIGHT. BASE. Right Prism. Oblique Prism. height. cylinder. Base. Lateral Surface.
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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 Prisms Pyramids Pentagonal Prism Hexagonal Pyramid
Prisms BASE HEIGHT BASE
Right Prism Oblique Prism height
cylinder Base Lateral Surface Height Base
Lateral Area (LA): the sum of the areas of the solid’s lateral surfaces Total Surface Area (TA or SA): the sum of the areas of all of its 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
Formulas for PRISMS LA = PhLateral Area = Perimeter of Base height of prism SA = Ph + 2BSurface Area = Perimeter of Base height of prism + 2 Area of Base
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 = Ph LA = 20.8 x 2.1 LA = 43.68 cm2
EX:2 Find the surface area. 2.1 cm 3.6 cm 6.8 cm SA = Ph + 2B SA = 43.68 + 2(24.48) SA = 92.64 cm2
EX:3 Find the lateral area.(One base is the side that is on the ground.) LA = Ph 6 m LA = 24 x 9 8 m LA = 216 m2 9 m
EX:4 Find the surface area.(One base is the side that is on the ground.) SA = Ph + 2B 6 m SA = 216 + 2(24) 8 m SA = 264 m2 9 m
Formulas for Cylinders LA = 2rh SA = 2rh + 2r2
EX:5 Find the lateral area. Round to the nearest tenth. 5 cm 3.8 cm
EX:6 Find the surface area. Round to the nearest tenth. 5 cm SA = 2rh + 2r2 3.8 cm
Surface Area of Pyramids and ConesSection 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone
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
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 =