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Published byMerilyn Priscilla Wood Modified over 8 years ago
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VOLUME Used to find the amount of liquid something can hold Ex. the area of a swimming pool is the inside of the pool while the volume is the amount of water that is in it Need to see figures in 3d (three dimensional) Rectangular prism
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To do volume we need to know the………….. Formula V = lwh Volume equals length times width times height 4m 3m 2m V = lwh V = 4(3)(2) V = 24 The formulas for volume are the same as area except volume you always use height Notice that we use meter cubed for volume
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Cylinder 3m 4m V = r r h V = 3.14(3)(3)(4) V = 3.14 (9)(4) V = 3.14(36) V = 113.04
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8m 5m V = r r h V = 3.14(4)(4)(5) V = 3.14(16)(5) V = 3.14(80) V = 251.2
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10cm 4cm Find V V = r r h V = 3.14(5)(5)(4) V = 3.14(25)(4) V = 3.14(100) V = 314 V = r r h 3 4m 6m V = 3.14(4)(4)(6) 3 Cone- circle bottom and Top goes to a point
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4m 6m V = 3.14(4)(4)(6) 3 V = 3.14(16)(6) 3 V = 3.14(96) 3 V = 301.44 3 V =100.48
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Pyramid- bottom can be any shape and top comes to a point This one is a rectangular pyramid 4m 3m 2m V = l w h 3 V = (4)(3)(2) 3 V = 24 3 V = 8
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6m 3m 4m V = l w h 3 V = (6)(3)(4) 3 V = 18(4) 3 V = 72 3 V = 24
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SURFACE AREA Simply it is the area of ALL of the sides of any figure To do just find the area of each different side of a figure then add all the areas together 6m 5m 4m There are 6 different sides to the figure so we need to find the area of each side
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6m 5m 4m A = lw A =(6)(4) A = 24 +24 A = 48 A = lw A = (5)(4) A = 20 +20 A = 40 Front and back sides Top and bottom A = lw A = (6)(5) A = 30 +30 60 Surface area 48+40+60= SA = 148
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8m 3m 4m A = lw A = (8)(4) A = 32 +32 A = 64 Front and back sides A = lw A = (4)(3) A = 12 +12 A = 24 Top and bottom A =lw A =(8)(3) A = 24 +24 A =48 Surface area 64+24+48= SA= 136
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4m 7m Find SA Formula…………… S = 2(3.14)(4)7 + 2(3.14)(4)(4) S = 2(3.14)28 + 2(3.14)(16) S = 56(3.14) + 32(3.14) S = 175.84 + 100.48 S = 276.32
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6m 6m Find SA S = 2(3.14)6 + 2(3.14)(3)(3) S = 2(3.14)18 +2(3.14)(9) S = 36(3.14) + 18(3.14) S = 113.04 + 56.52 S = 169.56 S = 2(3.14)(3)6 + 2(3.14)(3)(3)
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