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IMAS 2015 — Upper Primary Grades 5–6 — Round 1 Question 10

IMAS · IMAS 2015 — Upper Primary Grades 5–6 — Round 1

Question 10

A cubic box of side length 15 cm has two holes. One of them is 5 cm above and 5 cm to the left of the bottom right corner of the front face. The other is 5 cm below and 5 cm to the left of the top right corner of the right face. The size of the holes and the thickness of the box are negligible. If the box is filled with water and one of its faces rests on a horizontal surface, some water will leak out through the holes. What is the maximum amount, in cm³ , of water that can remain inside the box?

Question illustration
  1. 1000
  2. 1125
  3. 1500
  4. 2250
  5. 3375