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6 September, 03:57

What is the area of a hexagonal prism with a side length of 11, a height of 20, and apothem of 9.5? Note: Answer must not be fraction or decimal

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  1. 6 September, 07:56
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    I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.

    Also, the exact apothem is 9.5262 ... but we will adopt the given value of 9.5.

    First lateral surface area

    A1=6*side length*height=6*11*20=1320 units

    Then the end areas

    A2=2 faces * 6 triangles/face * [base * height (apothem) / 2]

    =2*6*11*9.5/2

    =627 units

    Total area=1320+627=1947 units
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