Prism Formulas

Posted In: Mathematics

In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

Prism


Lateral edge: l
Height: h
Lateral area: SL
Area of base: SB
No of vertical sides: n
Total surface area: S
Volume: V

  1. $S=S_L+2S_B$
  2. Lateral Area of a Right Prism
    $S_L=(a_1+a_2+a_3+…+a_n)l$
  3. Lateral Area of an Oblique Prism
    $S_L=pl,$
    where p is the perimeter of teh cross section.
  4. $V=S_Bh$
  5. Cavalieri’s Principle
    Given two solids included between parallel planes. If every plane cross section parallel to the given planes has the same area in both solids, then the volumes of the solids are equal.

Post Tags: Geometry


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