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Straight prism. Properties

Lecture



Theorem

The side surface of a straight prism is equal to the product of the base perimeter and the height of the prism, i.e. on the length of the side edge.

Evidence

The lateral faces of a straight prism are rectangles. The bases of these rectangles are the sides of the polygon lying at the base of the prism, and the heights are equal to the length of the side edges. Therefore, the lateral surface of the prism is

  Straight prism.  Properties

where a1, a2, ..., an are the lengths of the edges of the base, p is the perimeter of the base of the prism, and l is the length of the side edges. The theorem is proved.
created: 2014-10-05
updated: 2021-03-13
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Stereometry

Terms: Stereometry