# The Correct Prismoidal Formula for Volume is

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The correct prismoidal formula for volume is-

1. D [first area + last area + ∑ Even area + 2 ∑ odd areas]
2. D/3[first area + last area + 4 ∑ Even area + 2 ∑ odd areas]
3. D/3[first area + last area + 2 ∑ Even area + 4 ∑ odd areas]
4. D/6[first area + last area + 2 ∑ Even area + 4 ∑ odd areas]

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].

☛ Related Questions:

POPULAR EXAMS
SSC and Bank
Other Exams
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com