Top Answer

The volume of a pyramidal frustum whose bases are n-sided regular polygons is

where a1 and a2 are the sides of the two bases.

Note: cot(x) = 1 / tan(x)

For example, I was not provided my a's to calculate the volume my pyramidal octagonal frustrum. I was provided only an overal width (let overal width = W) so I had to calculate a1 with this equation:

a1 = W * (√2 / (2 + √2))

Then with the given h I solved for the overal width for the top octagon using trigometry;

Used the same a1 equation but for a2;

Then used this equation to find my volume:

It works, I tried it and proved it with AutoCAD using the command MASSPROP

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0octagonal pyramid

octagonal based pyramid

It is an octagonal based pyramid.

No, it is not.

An octagonal based pyramid has 9 faces, 16 edges and 9 vertices

9

An octagonal based pyramid.

An octagonal based pyramid has 9 faces

If you mean how many vertices are on an octagonal based pyramid then it has 9 vertices.

16 edges.

It will have 9 faces

A heptahedron.There are 34 distinct heptahedra: some of these are:a hexagon based pyramid,a pentagon based pyramid with one of the basal vertices truncated,a cuboid with one of its vertices truncated.

There are infinitely many possible answers. Common ones are are octagonal-based pyramid, an octagonal prism, on octagonal antiprism.

16

An octagonal based pyramid has 16 edges and 9 vertices.

five A triangular based prism has 5 A triangular based pyramid has 4 and there is no such thing as a triangular based prism pyramid - unless you mean a truncated pyramid (or a frustum) which is essentially a prism.

A decahedron.There are 32,300 different configurations: some of the more common (in school geometry) are:a nonagon based pyramidan octagonal prisma quadrilateral based antiprism.A decahedron.There are 32,300 different configurations: some of the more common (in school geometry) are:a nonagon based pyramidan octagonal prisma quadrilateral based antiprism.A decahedron.There are 32,300 different configurations: some of the more common (in school geometry) are:a nonagon based pyramidan octagonal prisma quadrilateral based antiprism.A decahedron.There are 32,300 different configurations: some of the more common (in school geometry) are:a nonagon based pyramidan octagonal prisma quadrilateral based antiprism.

An octagonal based pyramid has 9 faces

You start with a quadrilateral based bipyramid, which has six vertices. At each vertex, remove the tip in the form of a quadrilateral based pyramid. You will be left with a truncated octahedron.

an octagonal prism * * * * * No. An octagonal prism has 10 faces. Some of the possible solutions are: A heptagon based pyramid, A hexagonal prism, A rectangular based dipyramid.

It could be an octagonal based pyramid

9. 8 lateral faces and a base.

Start with an octahedron in the form of a quadrilateral based dipyramid a regular octahedron is a special case of this). This shape has six vertices - chop these off so as to remove a quadrilateral based pyramid. You will be left with a truncated octahedron. It is an octahedron which has been truncated (shortened) by cutting off its extremities.

Volume of pyramid: 1/3*base area*height

A nonagon based pyramid. An octagon based dipyramid. An octagonal base with a double-apex "pyramid". A heptagonal base with a triple-apex "pyramid". A heptagonal pyramid with a double-apex "pyramid" on the other side. A pentagonal prism. There are many more.

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