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HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03 Question 20

HKIMO · HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03

Question 20

A 15 cm by 10 cm by 18 cm tank contains water 3 cm deep. Eight solid cubes of side 5 cm are put inside. Find the maximum rise in water level, in cm.

Model convention: solid non-floating cubes, faces parallel to the tank; no trapped water or air, and all water is conserved.