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