WAEC Mathematics 2012 Question 48

Question 48

Mensuration of Solids

The volume of a cuboid is 54 cm3. If the length, width and height of the cuboid are in the ratio 2 : 1 : 1 respectively, find its total surface area.

  1. A.108 cm2
  2. B.90 cm2
  3. C.80 cm2
  4. D.75 cm2
Show the answer and explanation

Answer: B (90 cm2)

Explanation

2k × k × k = 54 gives k = 3: dimensions 6, 3, 3. Surface area = 2(18 + 18 + 9) = 90 cm2.