1.

sel is half-filled with water. The dimensions of its base are 50 cm x 30 cm.A tall rectangular vesA heavy metal cube of edge 10 cm is dropped into the vessel. Find the rise in the water level in thevessel

Answer»

Let the rise in water level in the rectangular vessel behcm.Given, edge of the cube = 9 cm

Dimension of the base of the rectangular vessel = 15 cm × 12 cm

Since, the cube is completely immersed in the rectangular vessel,

Volume of water displaced in the rectangular vessel = Volume of the cube

15 cm × 12 cm ×h= (9 cm)3

15 cm × 12 cm ×h= 729 cm3

h = (729/180) cm

⇒ h =4.05 cm

Thus, the rise in water level in the rectangular vessel is 4.05 cm approximately.

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