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Geometry Surface Area of Rectangular Prisms

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Surface Area Surface Area – the total area of all the surfaces, or faces, of an object. To find the surface area of an object we can add up the areas of the separate faces. l w h

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Surface Area Example: This is a rectangular prism. The l, w and h have different values. l w h Do any of the sides have the same size and shape?

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Surface Area In a rectangular prism there are three pairs of opposite and equal sides. l w h We can find the surface area of this prism by adding the areas of the two brown sides (A), the two green sides (B) and the two red sides (C). C B A

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Surface Area We should use a table to tabulate the various areas. 5cm 3cm 4cm Example: SideAreaNumber of Sides Total Area A B C TOTAL C B A

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Surface Area We should use a table to tabulate the various areas. 5cm 3cm 4cm Example: SideAreaNumber of Sides Total Area A20 cm cm 2 B C TOTAL C B A

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Surface Area We should use a table to tabulate the various areas. 5cm 3cm 4cm Example: SideAreaNumber of Sides Total Area A20 cm cm 2 B12 cm cm 2 C TOTAL C B A

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Surface Area We should use a table to tabulate the various areas. 5cm 3cm 4cm Example: SideAreaNumber of Sides Total Area A20 cm cm 2 B12 cm cm 2 C15 cm cm 2 TOTAL C B A

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Surface Area We should use a table to tabulate the various areas. 5cm 3cm 4cm Example: SideAreaNumber of Sides Total Area A20 cm cm 2 B12 cm cm 2 C15 cm cm 2 TOTAL6 94 cm 2 C B A

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Surface Area Now you try...find the surface area! 1.9cm 3.2cm 2.8cm Example: C B A B C SideAreaNo of Sides Area Total

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Surface Area Can we calculate a formula for the area of a rectangular prism?

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Surface Area Formula – Surface Area of a Rectangular Prism SA = 2lw + 2wh + 2lh

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