According to cavalieri's principle, which qualities must be congruent in order for two solids to have the same volume? select all that apply. height surface area cross-sectional area apothem length

Question

Chemistry

Ramon Burton

6 October, 05:06

According to cavalieri's principle, which qualities must be congruent in order for two solids to have the same volume? select all that apply. height surface area cross-sectional area apothem length

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Answers (2)

Know the Answer?

Carla Price · Answer 1

If two solids have the same height and the same cross-sectional area at every height, then the two solids have the same volume

Clarence Randolph · Answer 2

The correct answers is option A and C, height & Cross - Sectional Area

Explanation:

According the cavalieri's principle, any two geometrical shapes have equal volume only when -

a) They have equal height

b) They have same cross sectional area between the parallel lines

For example - In case of two triangular shapes in which the base have equal lengths and lies between two parallel lines with same height, then triangles have equal area and if a prism is carved of these triangular bases, then the volume of triangular prism formed will be equal.