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WAEC Mathematics 2008 Question 36

Question 36

Mensuration of Solids

What is the length of an edge of a cube whose total surface area is X cm2 and whose volume is X/2 cm3?

  1. A.3
  2. B.6
  3. C.9
  4. D.12
Show the answer and explanation

Answer: A (3)

Explanation

With edge a: 6a2 = X and a3 = X/2 = 3a2, so a = 3.