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warm-up. Ex1. A right rectangular prism has a Lateral Area of 864 square meters. Its length is five times its width Its height is twice its width Find its Surface Area. Ex2. Find the surface area. 3.2b: Surface Area of Pyramids and Cones. GSE’s. Primary.
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warm-up Ex1 A right rectangular prism has a Lateral Area of 864 square meters. • Its length is five times its width • Its height is twice its width • Find its Surface Area Ex2. Find the surface area
3.2b: Surface Area of Pyramids and Cones GSE’s Primary M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three p.599-606 Secondary M(G&M)–10–2 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)
Pyramid: Lateral faces are triangles that share a common vertex. (l)Slant Height: height of a lateral face
Surface Area of a Regular Pyramid: Area of Base Slant height Perimeter of Base Lateral Area of a Regular Pyramid:
Find the surface area of the Regular Pyramid
Cone: - base is a circle - has a vertex
S.A of a Right Cone Why are these two equations the same? L.A. = ?
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