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A cubic tank of side 36 cm is half-filled with water. How much will the water level rise
when a metal block of volume 5184 is submerged in the tank?
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The original volume of the water in the tank is
= . (1)
Let the new level of water after submerging the block be h cm (now unknown).
Since the water volume didn't change, we have this equation:
= , or, substituting (1),
= .
Hence,
h = + = 18 + 4 = 22 cm.
Answer. Water level in the tank after submerging the block is 22 cm.
Notice.
The term "submerged" means that the block is fully covered by the liquid.