A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above. Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by an arrow in the above figure? A. [A shape showing a trapezoid sitting on a rectangle — the trapezoidal top block appears as a slanted outline above a flat rectangle] B. [A parallelogram-like slanted outline] C. [A stepped/notched profile] D. [A simple parallelogram with slanted sides]
GATE 2022 · General Aptitude · Patterns In Two Dimensions · medium
Answer: The correct side view is Option A — a trapezoidal profile on top of a rectangular base.
- Analyze the lower rectangular block from the side: A block with a rectangular cross-section viewed from the side shows a plain rectangle. The width equals the depth of the block and the height equals the block's height.
- Analyze the upper trapezoidal block from the side: A block with a trapezoidal cross-section viewed from the same side shows the trapezoidal profile directly. The base of the trapezoid aligns with the top of the lower rectangle. One vertical side and one slanted side are visible, with the top shorter than the bottom.
- Combine into the composite side view: Stacking the two silhouettes: the side view shows a rectangle at the bottom and a trapezoidal shape above it — matching Option A, which shows a flat-topped trapezoid (wider base, slanted right side) sitting on a rectangle.