11.3 and 11.5: Pyramids and Cones

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11.3 and 11.5 Pyramids and Cones
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Pyramids
Pyramid A 3-D figure with one face (the base)
that is any polygon and the other faces (the
lateral faces) are triangles that meet at a
common vertex.
How are the height and slant height related to
the edge of the base of a pyramid???
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Surface Area of Pyramids
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Surface Area of Pyramid
The Great Pyramid of Giza, Egypt has a height of
481 ft. Each edge of its square base is about
756 ft. Find the area of the surface of the
pyramid.
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Cones
Cone A 3-D figure with a circular base and a
curved lateral surface
How are the radius, height, and slant height
related???
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Surface Area of Cones
THEOREM 11.4 Surface Area of ConeThe surface
area of a cone is the sum of the lateral area and
the area of the base.
Find the surface area of the following cone.
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Surface Area of Cones
The radius of the base of a cone is 5 m. If the
height of the cone is 12 m, find the surface area
in terms of p.
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Volume of Pyramids
THEOREM 11.8 Volume of PyramidThe volume of a
pyramid is one third the product of the area of a
base and the height of the pyramid.
The Pyramid arena in Memphis, TN has a base of
area 300,000 ft2. Its height is 321 ft. What is
the volume of the pyramid?
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Volume of Pyramids
Find the volume of the following pyramid.
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Volume of Cones
THEOREM 11.9 Volume of ConeThe volume of a
cone is one third the product of the area of the
base and the height of the cone.
Find the volume of the following cone in terms of
p.
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Volume of Cones
Find the volume of the following cone in terms of
p.
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11.3 and 11.5 Pyramids and Cones
Homework p.620 1-13 odd, 18 p.634 7-14, 18