Prismoid
Prismoid is a geometrical figure that is a type of polyhedron. It is a solid figure whose ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
A prismoid includes prisms and antiprisms, which are a special case of a prismoid. The term "prismoid" is also used to refer to a solid figure that can be divided into such shapes.
Definition[edit | edit source]
A prismoid is defined as a polyhedron with two parallel faces, known as the bases, and the remaining faces, known as the lateral faces, are parallelograms. The bases are similar and congruent polygons.
Types of Prismoids[edit | edit source]
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 polygons and whose lateral faces are triangles.
- Frustum: A frustum is a prismoid that is the result of cutting a regular polyhedron parallel to its base, thus forming a smaller base and a larger base.
Volume of Prismoids[edit | edit source]
The volume of a prismoid can be calculated using the formula:
V = h/6 * (B1 + 4M + B2)
where:
- V is the volume
- h is the height
- B1 and B2 are the areas of the two bases
- M is the area of a section midway between the two bases
See Also[edit | edit source]
References[edit | edit source]
Prismoid Resources | ||
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Contributors: Prab R. Tumpati, MD