**Find the length of the apothem of a hexagonal prism if the volume is 120sqrt3 cubic in. and the height is 5 in - apothem length of hexagonal prism**

Let x = side of the hexagon

a = x √ 3 / 2

Perimeter (P) = 6x

Area of hexagon = pa / 2

volume = pa / 2

120 √ 3 = 6x * x √ 3 / 2 * 5 / 2

120 = 3x ²

40 = x ²

x = 2 √ 10

a = 2 √ 10 √ 3 / 2

= √ 30

## Sunday, February 7, 2010

### Apothem Length Of Hexagonal Prism Find The Length Of The Apothem Of A Hexagonal Prism If The Volume Is 120sqrt3 Cubic In. And The Height Is 5 In

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