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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Question

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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KnowledgeBoat · Accepted 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.

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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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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