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Review : Find Surface area of each figure. 1. 2.
13 in
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1. SA = Front + Back + Left + Right + Top + Bottom SA = (lh) + (lh) + (wh) + (wh) + (lw) + (lw) SA = (10)(4) + (10)(4) + (3)(4) + (3)(4) + (10)(3) + (10)(3) SA = SA = 164 cm2
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2. SA = Top + Bottom + Side SA = (r2) + (r2) + (lw) SA = (r2) + (r2) + (circumference)(height) SA = (r2) + (r2) + (2r)(h) SA = (3.14)(8)2 + (3.14)(8)2 + (2)(3.14)(8)(9) SA = ft2
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SA = Front + Back + Left + Right + Bottom
13 in 3. SA = Front + Back + Left + Right + Bottom SA = 334 in2
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4. SA = Side 1 + Side 2 + Side 3 + Bottom SA = 38 ft2
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Lesson 10.6 and 10.7: Volume of Prisms and Cylinders
Volume of prism or cylinder = (Area of base)(height of polyhedron) Ex. Rectangular prism: Base is rectangle so, V = (area of base )(Height polyhedron) V = (l w) (H) V = lwH height width length
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Volume of triangular prism=
(area of triangular base) (height of polyhedron) Example: V = (area of triangular base)(height of polyhedron) height Height base Where h = height of triangular polygon H = height of polyhedron (prism)
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Volume of cylinder = (area of circular base)(height of cylinder)
Example: radius Where r = radius H = height of cylinder height
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V = (area of base)(height) V = (area of rectangle)(height) V = (lw)(h)
Examples: p #3 V = (area of base)(height) V = (area of rectangle)(height) V = (lw)(h) V = (10)(3)(4) V = 120 cm3
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p. 554, #5 V = (area of base)(height) V = (area of circle)(height) V = (r2)(h) V = (3.14)(8)2(9) V = ft3
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p.554 # 6 V = (area of base)(Height of prism) V = (area of triangle)(Height of prism) V = 270 in3
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Homework: p. 555, #7-12
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