Question

Identify the correct cross-section of the given 3D shape.

• A.
• B.
• C.
• D.

Hint:

Visualizing how the plane intersects the solid helps determine the shape of the cross-section. For prisms, diagonal cuts often result in parallelograms.

Answer 1

The Correct Option is C

Step 1: Analyze the 3D Shape.
The image shows a rectangular prism (a box-shaped solid) with a plane slicing through it diagonally from one edge to the opposite edge on the other face. Step 2: Understand the Cross-Section.
When a diagonal slice is made across a rectangular prism from one edge to the opposite edge of the adjacent face, the resulting cross-section is a parallelogram — a four-sided figure with opposite sides parallel. Step 3: Match the Cross-Section with the Options.
Let's analyze each option:
Option A: Triangle — Incorrect, because the cut passes through four faces, not three.
Option B: Rectangle — Incorrect, because the cut is diagonal, not perpendicular.
Option C: Parallelogram — Correct, matches the expected shape.
Option D: Trapezoid — Incorrect, as trapezoid has only one pair of parallel sides.
Step 4: Conclusion.
The correct cross-section formed by the diagonal cut of a rectangular prism is a parallelogram, which corresponds to Option C.