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Explain Prismoidal formula and trapezoidal formula.

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71kviews

Explain Prismoidal formula and trapezoidal formula.

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written 7.8 years ago by | • modified 4.6 years ago |

**1) Prismoidal Formula:**

- 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.
- From mensuration, volume of a prism having end faces is in parallel planes:
- V=L/6*(A1+A2+4Am)
- This is known as prismoidal formula.

**2) Trapezoidal formula:**

- 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.
- 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-
- V=L/2
*(A1+A2) or V=L*Am Am=mean sectional area.

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