Geometry Which of the following solids only has one possible shape for its two-dimensional cross sections?

Question

Which of the following solids only has one possible shape for its two-dimensional cross sections?

cube

sphere

rectangular prism

square based prism

cylinder

triangular prism

Answer 1

This is actually pretty easy. Two-dimensional cross-sections can occur in different directions, so 3-D shapes with CORNERS will have different cross-sections, depending on the angle at which the plane of the cross-section cuts through the shape.

Only one of the shapes you list does not have corners. That one, the sphere, is your answer. It results in a circular cross-section, no matter at what angle the cross-section is cut.