Question

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)

Answer 1

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