Mathematics
A rectangular container, whose base is a square of side 12 cm, contains sufficient water to submerge a rectangular solid 8 cm x 6 cm x 3 cm. Find the rise in level of the water in the container when the solid is completely immersed in it.
Mensuration
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Answer
Given:
Side of square base of the container = 12 cm
Dimensions of the rectangular solid = 8 cm × 6 cm × 3 cm
We are to find the rise in water level when the solid is fully submerged.
Volume of the solid = 8 × 6 × 3 = 144 cm3
Since the base of the container is a square:
Base area = 12 × 12 = 144 cm2
Let the rise in water level be h cm:
Volume displaced = Base area × h
⇒ 144 = 144 × h
⇒ h = = 1 cm
Hence, the rise in the level of the water in the container = 1 cm.
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