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.

## Answer this Question

## Related Questions

Math - I need to find the surface area and volume of a right regular hexagonal ...

geometry - 2 regular hexagonal prisms are similar. The areas of their bases are ...

geometry - what is the volume of a square prism with a height of 8 and a base ...

surface area & volume - How can I find the surface area and volume of a ...

geometry - The base of a right triangular prism is a right isosceles triangle ...

Geometry - ABCA1B1C1 is a prism which has regular triangles in the bases. The ...

Geometry - 5cm is one side of base height is 4cm base has 4 sides shape is a ...

Geometry/Math again! - The base of a prism is a regular hexagon that measures 4 ...

geometry - Find the surface area of pyramid that has a regular hexagonal base od...

geometry - Find the surface area of pyramid that has a regular hexagonal base od...