JAMB Mathematics 1985 Question 41

Question 41

Mensuration of Solids

In the figure above GHIJKLMN is a cube of side a. Find the length of HN.

Diagram for this question
  1. A.√3a
  2. B.√3a
  3. C.3a2
  4. D.a√2
  5. E.a 3.
Show the answer and explanation

Answer: A (√3a)

Explanation

HN goes from a bottom front corner to the opposite top back corner. HN² = a² + a² + a² = 3a², so HN = √3a.