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A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is__________?

Correct answer: B. 1 dm

  • A. 90 cm
  • B. 1 dm
  • C. 1 m
  • D. 1.1 cm

Explanation

A cistern is normally understood to be open at the top. Its internal length and width are 3.3 m - 0.1 m = 3.2 m and 2.6 m - 0.1 m = 2.5 m, while 8000 litres = 8 m3, so internal height = 8 m3 ÷ (3.2 m x 2.5 m) = 1 m. The bottom thickness is therefore 1.1 m - 1 m = 0.1 m = 1 dm; choosing 1 m confuses the internal height with the bottom thickness.

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