Randy makes two slices through a three-dimensional object. one plane is parallel to the base; the other plane is perpendicular to the base. the two cross-sections are the same size and shape. what three-dimensional shapes might randy have cut?
a: come
b: sphere
c: cylinder
d: cube
(btw this is a apex geometry question)

Just imagine it

consider each

A. cone
if you cut a cone paralell to it's base, you get a circle
if you cut it perpendicular, you get  a triangle
triangle≠circle so not this one

B. sphere
if you cut a sphere paralell to it's base, you get a circle
if you cut it perpendicular, you get  a circle
circle=circle so this works

C. cylinder
if you cut a cylinder paralell to it's base, you get a circle
if you cut it perpendicular, you get  a rectangle
rectanlge≠circle so not work

D. cube
if you cut a cube paralell to it's base, you get a square
if you cut it perpendicular, you get  a square
square=square so this works

answers are B and D