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UI Post-UTME Mathematics 2012 Question 2

Question 2

Mensuration of Solids

An open wooden box is made up of material which is 4cm thick. The inner dimensions are 16cm by 12cm by 9cm. Calculate the volume of wood used in making the box

  1. A.3500cm3
  2. B.6240cm3
  3. C.1728cm3
  4. D.4512cm3
Show the answer and explanation

Answer: D (4512cm3)

Explanation

With 4 cm walls on all sides and the base (open top), the outside is 24 × 20 × 13 = 6240 cm³; inside is 16 × 12 × 9 = 1728 cm³; wood = 4512 cm³.