RIGHT PRISM,Volume of Right Prism,Triangular Prism,formulas and solved example

A right prism is a solid which has two parallel planes of same 

shape and size. Also, its lateral surface are perpendicular to its 

parallel  sides.

  

Volume of Right Prism

Volume = Area of cross-section x Distance between parallel sides

             = Base area x height

Triangular Prism

Volume = Base area x height

              = Triangle area x length of the solid

             = ½ x base x height x length

Total surface area = Two triangles + three rectangles

   = 2 x ½ x b x h  +  L x b1 + L x b2 + L x b3

   = 2 x base area + (b1 + b2 + b3) x L

   = 2 base area + Perimeter of the base x Length

Volume of a Prism

 Volume = Base Area x Height

  = ½ x 12 x 16 x 30

  = 2880 cm3

Perimeter of the base = 12 + 16 + 20

     = 48 cm

T.S.A = 2 x Base Area + Perimeter of the base x height

          = 2 x 96 + 48 x 30

          = 1632 cm2.

Trapezoid

Volume = Base Area x Length

    = ½ x (8 + 15) x 10 x 20

    = 2300 cm3.

T.S.A = 2 x Base area + Perimeter of the base x height

          = 1670 cm2.

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