Question

The problem figure shows the elevation of an object. Identify the correct top view from amongst the answer figures.

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

An elevation that is a plain trapezoid, wider at the base, shows a frustum (a truncated pyramid), whose top view is two nested figures joined at the corners.

Answer 1

The Correct Option is A

The elevation is a plain trapezoid, wider at the bottom than at the top, without any internal line. The object is therefore a frustum: a solid whose base is larger than its flat top, with slanting side faces.
The top view of such a solid shows the flat top as a smaller figure inside the larger base outline. For a square base, each corner of the small square is joined by a slanting line to the corresponding corner of the large square (these are the edges of the sloping side faces). No line may cross the small top, because the top is a single flat face.
Option (2) draws diagonals across the small top, which would describe a pointed pyramid. Option (3) draws circles with a cross inside, which has an extra cross. Option (4) draws two squares with diagonals and without the corner lines. Option (1) shows the outer square, the inner square and the four corner lines, so it is the top view.
Answer: (1) Option (1) figure