Posted by **Ariel** on Thursday, June 10, 2010 at 10:04am.

Find the volume of a regular hexagonal prism if the measure of one side of the base is 14 and the height is 10.

a.)140√2 cm^3

b.)2940√3 cm^3

c.)140 cm^3

I was thinkin the answer is 140√2 cm^3

- Geometry HELP -
**Henry**, Thursday, June 10, 2010 at 7:50pm
V=NAh=6(14x12.1/2)10=5082cubic cm

V=volume; N=number of sides=number of triangles that forms base of hexagon;

A=area of each triangle(quanity in parenthesis); h=height of hexagon.

The 6 triangles formed by drawing a line from the center to each vertex are equalateral. Therefore, the height of each triangle is 14sin60=12.1. I hope this explanation is sufficient.

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