P.O.D. #5 basic advanced 4 in 2 in Find the area of the figure above. Find the area of the trapezoid above. 7 cm 5 cm 3 cm A = ½  (b 1 + b 2 )  h =

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Presentation transcript:

P.O.D. #5 basic advanced 4 in 2 in Find the area of the figure above. Find the area of the trapezoid above. 7 cm 5 cm 3 cm A = ½  (b 1 + b 2 )  h = ½  (5 cm + 7 cm)  3 cm = ½  (12 cm)  3 cm = 18 cm 2 A 1 = b  h = 2 in  2 in = 4 in 2 A 2 = b  h = 2 in  4 in = 8 in 2 Total Area = 4 in in 2 = 12 in 2

Surface Area of Prisms

A prism is a three-dimensional figure with at least two parallel congruent faces called bases that are polygons.

Triangular PrismRectangular Prism

Surface area (S.A.) is the sum of the areas of all the surfaces, or faces, of a three-dimensional figure. Surface area is measured in square units.

Surface Area of a Rectangular Prism S.A. = 2 l h + 2 l w + 2hw Length: l Width: w Height: h

Example: S.A. = 2 l h + 2 l w + 2hw = 2(4in  5in) + 2(4in  7in) + 2(5in  7in) = 40 in in in 2 = 166 in 2

3 in 4 in 5 in 8 in 3 in4 in 5 in 8 in 3 in 4 in 5 in Example: 6 in 2 24 in 2 32 in 2 40 in 2 S.A. = 6 in in in in in in 2

S.A. = 2 l h + 2 l w + 2hw = 2(2ft  3ft) + 2(2ft  6ft) + 2(3ft  6ft) = 12 ft ft ft 2 = 72 ft 2 Whiteboard: