Prismoid
Prismoid
Prismoid (/prɪzˈmɔɪd/; from the Greek words "prisma", meaning "prism", and "eidos", meaning "form") is a geometric figure in mathematics. It is a polyhedron with two parallel faces, or bases, and the remaining faces are parallelograms. The bases are similar, equal, and parallel polygons, and the other faces are parallelograms or trapezoids.
Definition
A prismoid is a solid whose ends are similar, equal, and parallel plane figures, and whose sides are parallelograms. In the special case where the ends are polygons, the prismoid is also a polyhedron.
Types of Prismoids
There are several types of prismoids, including:
- Prism: A prism is a prismoid whose bases are polygons and whose lateral faces are rectangles.
- Antiprism: An antiprism is a prismoid whose bases are regular polygons and whose lateral faces are triangles.
- Trapezoidal Prismoid: A trapezoidal prismoid is a prismoid whose bases are trapezoids and whose lateral faces are parallelograms.
Volume of Prismoid
The volume V of a prismoid can be calculated using the formula:
V = h/6 * (B1 + 4M + B2)
where h is the height of the prismoid, B1 and B2 are the areas of the two bases, and M is the area of a section midway between the two bases.
Related Terms
External links
- Medical encyclopedia article on Prismoid
- Wikipedia's article - Prismoid
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