3.5b: Surface Area of Pyramids and Cones

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3.5b Surface Area of Pyramids and Cones
GSEs
Primary
M(GM)106 Solves problems involving perimeter,
circumference, or area of two dimensional figures
(including composite figures) or surface area or
volume of three
Secondary
M(GM)102 Makes and defends conjectures,
constructs geometric arguments, uses geometric
properties, or uses theorems to solve problems
involving angles, lines, polygons, circles, or
right triangle ratios (sine, cosine, tangent)
within mathematics or across disciplines or
contexts (e.g., Pythagorean Theorem, Triangle
Inequality Theorem)
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Pyramid Lateral faces are triangles that share a
common vertex.
(l)Slant Height height of a
lateral face
3
Find the surface area of the Regular Pyramid
4
Find the Lateral Area of the regular pyramid
5
Cone - base is a circle - has a
vertex
6
Net View- What are the shapes?
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Find the Surface Area
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Find the Lateral area
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10 ft
An entire grain silo needs to be painted with a
rust proof paint. How many gallons of paint
will need to be purchased ? 1 gallon of paint
300 sq feet
40 ft
10 ft
The circumference around the silo was
approximated to be 63 ft
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Describe the shapes
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ASSIGNMENT