Question

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

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

Answer 2

Answer:

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 .