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Friday, 27 January 2017

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


Volume = Base area x height
              = Triangle area x length of the solid
             = ½ x base x height x length




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


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

 Volume = Base Area x Height
  = ½ x 12 x 16 x 30
  = 2880 cm3



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

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


Volume = Base Area x Length
    = ½ x (8 + 15) x 10 x 20
    = 2300 cm3.


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

T.S.A = 2 x Base area + Perimeter of the base x height
          = 1670 cm2.




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