The assumption on which the trapezoidal formula for volumes is based, is
A)the end sections are parallel planes
B)the mid-area of a pyramid is half the average area of the ends
C)the volume of the prismoidal is over-estimated and hence a prismoidal correction is applied
D)all the above

Question

Quizplus · Accepted Answer

The trapezoidal formula for volumes assumes that the end sections are parallel planes, the mid-area of a pyramid is half the average area of the ends, and that the volume of the prismoidal is over-estimated, hence a prismoidal correction is applied. These assumptions are collectively used to calculate volumes accurately in various engineering and mathematical applications.

The Assumption on Which the Trapezoidal Formula for Volumes Is