In this publication, we will consider the main properties of a prism (regarding the bases, side edges, faces and height), accompanying them with visual drawings for a better perception of the information presented.
Note: we examined the definition of a prism, its main elements, varieties and cross-section options in, so we will not dwell on them in detail here.
Prism Properties
We will consider the properties using the example of a hexagonal straight prism, but they are applicable to any other type of figure.
Property 1
A prism has two equal bases, which are polygons.
Those. ABCDEF = A1B1C1D1E1F1
Property 2
The side faces of any prism are parallelograms.
In the picture above it is: AA1B1B, BB1C1C, CC1D1D, DD1E1E, EE1F1F и AA1F1F.
Property 3
All side edges of the prism are mutually parallel and equal.
- AA1 = BB1 = CC1 = DD1 = EE1 = FF1
- AA1 || BB1 || CC1 || DD1 || EE1 || FF1
Property 4
The perpendicular section of the prism is located at right angles to all side faces and edges of the figure.
Property 5
Height (h) of any inclined prism is always less than the length of its lateral edge. And the height of a straight figure is equal to its edge.
- On fig. left: h = AA1
- In fig. case: h < AA1