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A cuboidal water tank contains 216 liters is water. Its depth is 1/3 of its length and breadth is ½ of 1/3 of the difference between length and depth. The length of the tank?

Correct answer: C. 18dm

  • A. 2dm
  • B. 6dm
  • C. 18dm
  • D. 72dm

Explanation

Let the length be L dm. The depth is L/3 dm, and the breadth is one-sixth of the difference between length and depth, so breadth = (L − L/3) ÷ 6 = L/9 dm. Hence volume = L × L/3 × L/9 = L3/27 = 216 dm3, giving L3 = 5832 dm3 and L = 18 dm. The likely wrong choice is 6 dm, which comes from solving only part of the dimension relationship.

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