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GATE 2016 CE (CE2) – Question 9

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid?

  1. x2
  2. 0.75 x2
  3. 0.50 x2
  4. 0.25 x2 END OF THE QUESTION PAPER

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Correct answer: (D) 0.25 x2 END OF THE QUESTION PAPER

Explanation

The lateral area of a pyramid is half the base perimeter times the slant height. With perimeter x and slant height x/2, area=(1/2)x(x/2)=x²/4. Thus **0.25x², D**. Base area is excluded because the question asks for lateral area.