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**Surface Area of Rectangular Prisms**

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. h w l

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

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Surface Area In a rectangular prism there are three pairs of opposite and equal sides. 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 h B A w l

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**Surface Area We should use a table to tabulate the various areas.**

Example: Side Area Number of Sides Total Area A B C TOTAL C 4cm B A 3cm 5cm

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**Surface Area We should use a table to tabulate the various areas.**

Example: Side Area Number of Sides Total Area A 20cm2 2 40cm2 B C TOTAL C 4cm B A 3cm 5cm

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**Surface Area We should use a table to tabulate the various areas.**

Example: Side Area Number of Sides Total Area A 20cm2 2 40cm2 B 12cm2 24cm2 C TOTAL C 4cm B A 3cm 5cm

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**Surface Area We should use a table to tabulate the various areas.**

Example: Side Area Number of Sides Total Area A 20cm2 2 40cm2 B 12cm2 24cm2 C 15cm2 30cm2 TOTAL C 4cm B A 3cm 5cm

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**Surface Area We should use a table to tabulate the various areas.**

Example: Side Area Number of Sides Total Area A 20cm2 2 40cm2 B 12cm2 24cm2 C 15cm2 30cm2 TOTAL 6 94cm2 C 4cm B A 3cm 5cm

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**Surface Area Now you try...find the surface area! Example: B C A B C**

Side Area No of Sides Total 2.8cm C A 3.2cm B C 1.9cm

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

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**Surface Area SA = 2lw + 2wh + 2lh**

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

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