JAMB Mathematics 1981 Question 23

Question 23

Mensuration of Solids

A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?

  1. A.9cm
  2. B.√65cm
  3. C.4√2cm
  4. D.7cm
  5. E.6.5cm.
Show the answer and explanation

Answer: D (7cm)

Explanation

The diagonal satisfies 9² = 4² + 4² + h², so h² = 81 − 32 = 49 and h = 7cm.