Question

the shapes shown are different cross - sections of the same three - dimensional object. which three - dimensional object has these cross - sections?

Explanation:

• Option A (Cone): Cross - sections of a cone can be a circle (when cut parallel to the base), a triangle (when cut through the vertex and perpendicular to the base), but not a rectangle.
• Option B (Cube): Cross - sections of a cube can be a square (when cut parallel to a face), a rectangle (when cut at an angle to the faces but not through the vertices in a non - square way), but not a triangle.
• Option C (Cylinder): Cross - sections of a cylinder can be a circle (when cut parallel to the bases) or a rectangle (when cut perpendicular to the bases), but not a triangle.
• Option D (Triangular Pyramid): A triangular pyramid (tetrahedron) can have triangular cross - sections (when cut parallel to a face) and rectangular cross - sections (when cut in a non - parallel, non - vertex - through way).

Answer:

D.