Posted by **JOY** on Saturday, May 21, 2011 at 7:12am.

What is the volume of a right hexagonal pyramid with base edge of 1 cm and height of 2cm

Would I use V=BH 6(2)=12cm^3

- Geometry -
**Reiny**, Saturday, May 21, 2011 at 8:00am
The general formula for a pyramid

= (1/3) base area x height

Your base is a hexagon with sides of 1.

You can split the hexagon into 6 equilateral triangles.

Find the area of one of those first:

(use the ratio of the 30-60-90 triangle to find the height to be √3/2)

Area of one triangle = (1/2)(1)√3/2) = √3/4

so 6 of them would be 6√3/4 or 3√3/2

volume of your pyramid

= (1/3)(1)(3√3/2)

= 3√3/6

- Geometry -
**JOY**, Saturday, May 21, 2011 at 8:48am
Thank you for all the help!

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