Question

which two of the objects shown below could we slice diagonal to their bases/faces to create ellipse cross-sections (that arent circles)?
choose 2 answers:
a. cone
b. cube
c. cylinder
d. sphere

Explanation:

• Cone (A): When a cone is sliced diagonally to its base (not parallel or perpendicular), the cross - section is an ellipse (or a parabola/hyperbola in some cases, but for the purpose of this question, the diagonal slice that's not through the vertex and not parallel to the base gives an ellipse - like shape that's not a circle).
• Cylinder (C): A cylinder, when sliced diagonally to its circular bases (not parallel or perpendicular), the cross - section is an ellipse. A cube (B) will have polygonal cross - sections (like triangles, rectangles, etc.) when sliced diagonally, and a sphere (D) will always have circular cross - sections regardless of the slice direction.

Answer:

A. Cone, C. Cylinder