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

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