Differentiate between trapezoidal and prismoidal formula for computation of volume.
Sr.No.
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Trapezoidal Formula
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Prismoidal Formula
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1 |
This formula is suitable for any number of sections.
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This formula is applicable when there are an odd number of sections.
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2 |
Trapezoidal formula V = D/2(A1+An+2(A2+A3+….+An-1)) Where D=Common distance A1=Area of first section An=Area of last section A2,A3,..An-1=Area of all other sections
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Prismoidal formula V = D/3 (A1+An+ 4(A2+A4++An-1) + 2(A3+A5+…+An-2)) Where D=Common distance A1=Area of first section An=Area of last section A1,A3,..An-1=Area of odd sections A2,A4,..An-2=Area of even sections
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3 |
In this method area is divided into series of trapezoids.
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In this method area is divided into series of prismoids.
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4 |
The trapezoidal formula does not give the correct volume.
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Prismoidal formula gives more correct volume due to prismoidal consideration.
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5 |
Simple in calculation.
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Comparatively difficult calculation
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