Chapter 9 9.3: Surface Area and Volume of Pyramids

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Presentation transcript:

Chapter 9 9.3: Surface Area and Volume of Pyramids Geometry Chapter 9 9.3: Surface Area and Volume of Pyramids

Parts of a Pyramid Base: polygon Lateral faces: triangles Vertex: where all ‘s meet Base edge: where and base meet Lateral edge: intersection of 2 Altitude: perp segment from base to vertex Height: length of altitude

Regular Pyramid: base is regular polygon Slant height: altitude of lateral face

Surface Area of a Regular Pyramid: 7.3 Surface Area and Volume of Pyramids Surface Area of a Regular Pyramid: S = 1 2 lp + B . B=base area p= perimeter l= slant height

Volume of a Pyramid : 1 3 Bh V = . H=height B=base area

Key Skills Find the surface area of a regular pyramid. S = lp + B 1 2 7.3 Surface Area and Volume of Pyramids Key Skills Find the surface area of a regular pyramid. S = 1 2 lp + B

Key Skills Find the volume of a regular pyramid. V = Bh 1 3 TOC 7.3 Surface Area and Volume of Pyramids Key Skills Find the volume of a regular pyramid. V = 1 3 Bh TOC

If the surface area of the pyramid is 180 cm, find x.

The surface area of a square pyramid is 864 m, if the slant height is 15m and the height is 12 m, what is the length of each side of the base?