# Geometry

posted by .

How do you calculate the volume of a right hexagonal prism.
The height is 8cm and each section of base is 6cm.
I have been working on this problem for 30 minutes and cannot come up with the correct answer.

• Geometry -

volume = base x height

so you need the base of the hexagon, which consists of 6 equilateral triangles.
Area of one of them = (1/2)(6)(6)sin60 = 15.588457

so the base is 6 times that

volume = 6(15.588457)(8) = 748.246

## Similar Questions

1. ### geometry

I have a question: My textbook says "The surface of a right prism is 224 sq. feet, and the length of a side of the square base is one-third the height. What are the dimensions of the prism?
2. ### geometry

basis of a right prism is a rhombus with a diagonal 8cm and 6cm.the prism height i is 12cm.find:a)the general area of prism.b)the side of prismsusurface.diagonals cutting surfaces.c)prism volume.
3. ### Geometry HELP

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.)140âˆš2 cm^3 b.)2940âˆš3 cm^3 c.)140 cm^3 I was thinkin the answer is 140âˆš2 cm^3
4. ### geometry

If the edges of the base of a rectangular prism are 8cm and 6cm, and the diagonal is 10--square root of 2, what is the volume of the solid?
5. ### geometry

You have a rectangular prism. The center section has been removed. The base of the original prism is 6in wide and 8in long. The height of the prism is 10in. What is the total exposed surface are of the new prism?
6. ### geometry

Fin the volume of a triangular prism with height 16cm, base (a right triangle with sides 7cm, 8cm, and 10cm and the right angle between shorter sides.)
7. ### Geometry

If the edges of a rectangular prism are 8cm, 6cm, and the diagonal is 10radical2, what is volume of the solid?
8. ### geometry

The base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm. each. The volume of the prism is 7.5 cubic meters. Find the height of the prism.