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Explain Prismoidal formula and trapezoidal formula.
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1) Prismoidal Formula:

  1. This formula is based on the assumption that A1 and A2 are the areas at the ends and Am is the area of mid section parallel to ends, L=Length between the ends.
  2. From mensuration, volume of a prism having end faces is in parallel planes:
  3. V=L/6*(A1+A2+4Am)
  4. This is known as prismoidal formula.

2) Trapezoidal formula:

  1. It is also known as average are or mean sectional are formula. This method is based is based on the assumption that the mid area of a pyramid is half the average area of the ends and the end sections are in parallel planes.
  2. If A1 and A2 are areas of the ends and L is the length between two sections the volume of the prismoid is given by-
  3. V=L/2(A1+A2) or V=LAm Am=mean sectional area.
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