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Published byBrice Asher Sims Modified over 8 years ago
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Warm Up Sit where you will learn best. I will rearrange as needed Complete the handout on front desk
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Unit 10 – Surface Area and Volume Thurs 12/13 = 10.1 and 10.3 Nets/Polyhedron/Surface area of prisms and cylinders Fri 12/14 = 10.4 Surface area of pyramids and cones Mon 12/17 = Quiz! 10.5 and 10.6 Volume (prisms,cylinders,pyramids, and cones)
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Today’s Objective Students will be able to recognize nets of space figures. Students will be able to find the surface area of 3-D figures
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Definitions Polyhedron – a 3-D figure whose surfaces are polygons (flat) Each polygon is called a FACE. An EGDE is where 2 faces meet. A VERTEX is where 3 or more edges meet.
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Identifying Nets of Polyhedrons Definition: A Net is a two-dimensional pattern that can be folded into a 3-D figure Looking at your handout, predict what the three-dimensional solid formed by this net will look like. Assume the shaded squares make up the base (or bottom) of the solid.
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Net Example What 3D figure does this net represent?
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Ex. Draw and label a net for the following figure with correct measures \ There are many possible nets!
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Prisms Definition: A Prism is a polyhedron with exactly two congruent, parallel faces, called bases. – Lateral Faces – faces that are not the bases. – Altitude – height of prism ( to both bases) – Lateral Area – sum of the lateral faces – Surface Area – sum of lateral area AND areas of bases
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Prisms
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Ex 1: Find the lateral Area LA = sum of areas of rectangles (non-bases) OR LA = p*h (perimeter of base*height of prism)
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Ex 2: Find the surface Area SA = ph+ 2B (LA+ 2*Area of Base)
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Ex 3: Find the Lateral Area
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Ex 4: Find the Surface Area
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Ex 5: Find the Lateral Area
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Ex 6: Surface Area
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Cylinder: Like a prism, but has circular bases Ex 7: Lateral Area = Ch = 2πr*h
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Ex 8: Surface Area = 2πr*h + 2πr 2
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Ex 9: Lateral Area
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Ex 10: Surface Area
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Classwork/Homework Handout
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