Question

The above given top view corresponds to

• A. (i)
• B. (ii)
• C. (iii)
• D. (iv)

Hint:

Top views reveal base shapes and symmetry. Diagonal lines in top views often indicate slant edges in pyramids and cones.

Answer 1

The Correct Option is A

The top view shows a pentagonal base with straight lines drawn from the vertices to the center, forming intersecting diagonals.
This visual indicates that the figure has a regular pentagonal base and a point at the top (apex) connected to all five corners—this is a classic trait of a pentagonal pyramid.
In a pentagonal pyramid, the base is a regular pentagon, and the triangular faces connect each vertex to a common apex vertically above the center of the base.
These slant edges are visible in the top view as straight lines from corners to the center.
To determine the correct 3D model, we must analyze the four options:
- Option (i) shows a 3D figure with a clear pentagonal base and five triangular slant faces converging to an apex. The projection matches the top view completely.
- Option (ii) appears similar but has subtle differences in orientation that result in a distorted top view when compared to the given diagram.
- Option (iii) presents the pyramid at a skewed angle, which would alter the top view significantly.
- Option (iv) also shows a pentagonal base but doesn't align properly with the projection shown.
The essential geometric relationship in orthographic drawings is preserved in Option (i). The straight lines forming diagonals in the top view represent the inclined triangular faces of the pyramid.
Thus, after comparing shape, alignment, and geometric correctness, Option (A) is the accurate match for the top view.