JAMB Mathematics 1979 Question 43

Question 43

Mensuration of Solids

What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

  1. A.√2239cm
  2. B.√2 × 2239cm
  3. C.√(3/2) × 2239cm
  4. D.√3 × 2239cm
  5. E.4478cm.
Show the answer and explanation

Answer: D (√3 × 2239cm)

Explanation

The longest distance is the space diagonal, √(a² + a² + a²) = √3 × a = √3 × 2239cm.