Question:

Identify the correct figure which represents the isometric projection of a vertical square prism placed on a horizontal square slab.

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Always visualize in layers—first identify the base (slab), then the object above (prism). Alignment and height matter most.
Updated On: Jul 15, 2025
  • (i)
  • (ii)
  • (iii)
  • (iv)
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The Correct Option is B

Solution and Explanation

The question requires identifying the isometric projection of a vertical square prism that is standing on top of a horizontal square slab.
Let’s break this down:
- A square slab is a short, thick block with a square base—its height is small relative to its length and breadth.
- A square prism is a tall 3D object with a square base and vertical sides—like a cube stretched vertically.
- When placed vertically on top of a slab, the overall object should look like a tall square prism mounted centrally over a shorter and wider square base.
Now evaluating the options: - Option (i) shows a stepped structure but does not represent a square prism on a slab—the base and top are not aligned vertically.
- Option (iii) shows the prism intersecting or merging with the base at the middle height—not placed over it.
- Option (iv) is close but lacks the proper proportions—the vertical prism does not appear distinct from the slab.
- Option (ii) clearly shows a vertical square prism standing above a larger, flat square slab. The shapes and orientation match the expected isometric view.
The base is horizontal and square, and the prism rises vertically and centrally from it, making it the correct representation.
Hence, the correct answer is (B) (ii).
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