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**Surface area of triangular prisms and pyramids**

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**The nets for a triangular prism and a square pyramid**

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**How to draw a triangular prism**

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**Surface area of a triangular prism**

SA= Ph + 2B = (7+7+5) •12 +2 ( •5•10) 1 2 7m = 19 •12 + 2 •25 10m = 228 + 50 7m = 278 m² 12m 5m P = perimeter of the base (the triangle) h = the height of the prism B = area of the base

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How to draw a pyramid

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**Surface area of a square pyramid**

1 2 8 SA = B Pl 1 2 ( ) •8 = (5 • 5) + 5 1 2 = (25) + (20) •8 1 2 = (25) + (160) 5 = 25 + 80 B = area of the base = 105 ft2 P = perimeter of the base l = length of the triangular face

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**Surface area of a triangular prism**

SA= Ph + 2B = ( ) • + ( • • ) m = • + • m = + m = m² m m P = ________ of the base (the triangle) h = the ________ of the prism B = _______ of the base

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**Surface area of a square pyramid**

1 2 SA = B Pl ( ) • = ( ) + = ( ) + ( ) • = ( ) + ( ) = + B = ______ of the base = ft2 P = __________ of the base l = ________ of the ____________ face

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