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

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

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 .  

a: 45.9 meters

b: 4.29 seconds

step-by-step explanation:

a: h(t)=1/2(-9.8)(3)^2+0(3)+90

h(t)=-4.9(3)^2+90

h(t)=-44.1+90

h(t)=45.9 meters

b: 0=1/2(-9.8)(t^2)+0t+90

0=-4.9t^2+90

-90=-4.9t^2

18.37=t^2

t=4.29 seconds

in the second question, the numbers aren't exact, but they're a close approximation.

answerlinnaeus;