The Correct Prismoidal Formula for Volume is
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The correct prismoidal formula for volume is-
- D [first area + last area + ∑ Even area + 2 ∑ odd areas]
- D/3[first area + last area + 4 ∑ Even area + 2 ∑ odd areas]
- D/3[first area + last area + 2 ∑ Even area + 4 ∑ odd areas]
- D/6[first area + last area + 2 ∑ Even area + 4 ∑ odd areas]
Table of content
Answer: B. D/3 [first area + last area + 4 ∑ Even area + 2 ∑ odd areas]
The correct prismoidal formula for volume is D/3 [first area + last area + 4 ∑ Even area + 2 ∑ odd areas].
Solution
The volume calculated by the prismoidal formula is based on the Simson’s 13rd rule. It is the most accurate method of calculating the volume. But to calculate the volume, the Trapezoidal method is mostly used. The difference of volume by both the formulas is known as a prismoidal correction. Hence, the correct prismoidal formula for volume is-
D/3 [first area + last area + 4 ∑ Even area + 2 ∑ odd areas].
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