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Published byMyles Blankenship Modified over 8 years ago
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More Prisms We can find the volume of a prism by multiplying the cross sectional area by the length/height of the prism
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x = 2√3 (apothem) y = 2, so perimeter = 24 Area = ½ ap = ½ 24 x 2√3 = 24√3 Volume = 10 x 24√3 = 240√3 10m The surface area can also be found by adding the area of the two hexagons and six rectangles SA = 24√3 + 24√3 + 6 x 4 x 10 = 48√3 + 240
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3m tan22.5 = 3/x x = 3/tan22.5 x = 7.2 perimeter = 48 Area = ½ ap = ½ 48 x 7.2 = 172.8 Volume = 9 x 172.8 = 1555.2 The surface area can also be found by adding the area of the two octagons and eight rectangles SA = 172.8 x 2 + 8 x 6 x 9 = 777.6
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If you would like to use a polygon for your packaging project, remember that the radius of the circle will be the apothem of the polygon (not the radius of the polygon!)
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