Question

the shapes shown are different cross - sections of the same three - dimensional object.
which three - dimensional object has these cross - sections?
a. image of a cone
c. image of a cylinder
b. image of a cube
d. image of a triangular pyramid

Explanation:

1. Analyze Option A (Cone): A cone can only produce triangular cross-sections (through the apex) and circular/elliptical cross-sections, not rectangular ones. Eliminate A.
2. Analyze Option B (Cube): A cube can produce rectangular and square cross-sections, but cannot produce a triangular cross-section with a pointed apex and straight edges matching the given triangle. Eliminate B.
3. Analyze Option C (Cylinder): A cylinder can produce rectangular and square cross-sections (parallel to the axis) and circular cross-sections, but no triangular cross-sections. Eliminate C.
4. Analyze Option D (Triangular Prism): A triangular prism can produce square/rectangular cross-sections (when sliced parallel to its rectangular faces) and triangular cross-sections (when sliced parallel to its triangular bases), matching all given shapes.

Answer:

D. <The triangular prism shape>