Review : Find Surface area of each figure. 1. 2. 1. 2. 3. 4. 13 in
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 = 40 + 40 + 12 + 12 + 30 + 30 SA = 164 cm2
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 = 854.08 ft2
SA = Front + Back + Left + Right + Bottom 13 in 3. SA = Front + Back + Left + Right + Bottom SA = 334 in2
4. SA = Side 1 + Side 2 + Side 3 + Bottom SA = 38 ft2
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
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)
Volume of cylinder = (area of circular base)(height of cylinder) Example: radius Where r = radius H = height of cylinder height
V = (area of base)(height) V = (area of rectangle)(height) V = (lw)(h) Examples: p. 554 #3 V = (area of base)(height) V = (area of rectangle)(height) V = (lw)(h) V = (10)(3)(4) V = 120 cm3
p. 554, #5 V = (area of base)(height) V = (area of circle)(height) V = (r2)(h) V = (3.14)(8)2(9) V = 1808.64 ft3
p.554 # 6 V = (area of base)(Height of prism) V = (area of triangle)(Height of prism) V = 270 in3
Homework: p. 555, #7-12