Question

apply cavalieris principle the following figures all have the same height and same base area. for which of the figures can we apply cavalieris principle to show they have the same volume? choose 1 answer: a only a and b b only a and c c only b and c d a, b, and c

Explanation:

Cavalieri's principle states that if two 3D figures have the same height, and every cross-section taken at the same distance from the base has equal area, then the figures have equal volume. Figures A (right prism) and B (oblique prism) have identical cross-sectional areas at every height, so the principle applies to them. Figure C (pyramid) has cross-sectional areas that are smaller than the base area at every height above the base, so it cannot be shown to have equal volume to A and B using this principle.

Answer:

A. Only A and B