Defining prism
- prism - a versatile volumetric figure, which consists of two identical flat polygons (foundations), located in two parallel planes, and other facets (side faces) – паралелограми, with common sides of these polygons.
- Fundamentals prism – дві грані, which is equal parallel flat polygons (ABCEF, GMNJK).
- Side faces of the prism – всі інші грані за винятком основ.
- The side surface of the prism – сукупність всіх бічних граней призми.
- The surface of the prism – це сукупність поверхонь двох основ і бічної поверхні.
- Side edge prism – спільна сторона двох бічних граней.
- Height – це перпендикуляр, connecting the two bases of the prism at right angles.
- Diagonal prism bases – це відрізок, connecting two adjacent peaks not, belonging to the same base.
- Diagonal prism side faces – це відрізок, connecting the two opposing top, lying on one side face but belong to different bases.
- Diagonal prism (AN) – це відрізок, connecting two vertices, lying on different bases but do not lie on one side.
- diagonal intersection – це перетин призми площиною, passing through a prism diagonal bases and side edge. Wedge (at the base of the prism, triangles) has diagonal sections.
- section perpendicular – це перетин призми площиною, side edges intersecting at right angle prism.
- Direct prism – це призма, in which all side faces perpendicular to the base. Height is the length of the side edges.
- kidnapped prism – це призма, whose side faces perpendicular to the base.
- Right prism – це призма, which is a regular polygon bases. Right prism can be both direct, so inclined.
- Usіchena prism – це призма, in which two bases are not parallel (Livestock. 2). Truncated prism can be both direct, so inclined.
Читайте також: Correct triangular prism: specifications, formulas, sweeps
prism formulas
volume prism
formula. volume prisms through the footprint and height:V = SAHFH
formula. volume inclined prism perpendicular section through the area and the length of side edge:V = SPL
formula. Volume straight right prism through height (h), length parties (a) and the number of parties (n):
The surface area of a prism
formula. Lateral surface area prism through perimeter base and height:Sb = P·h
formula.The surface area of a prism through a footprint, the perimeter of the base and height:S = 2SAHF + P·h
formula.The surface area of a prism through height (h), length parties (a) and the number of parties (n):
formula. The area right triangular prism consists of two footprint areas and three lateral faces (Livestock. lower) Sпризмы= 2·Sосн+ 3·Sбіч.
Substituting here formula for the area of a rectangle and equilateral triangle area formula and get:
or
Basic properties prism
- Основи призми – рівні многокутники.
- Бічні грані призми – паралелограми.
- The side edges of the prism parallel and equal to each other.
- Perpendicular cross section perpendicular to all side edges and side edges.
- The height of the straight prism is the length of side edge.
- The height of the inclined prism is always less than the length ribs.
- In direct prism faces can be straight or square.