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A wooden cube of side 10 cm floats in water with 3 cm above the surface of water . What is the mass of the cube and its density ?
Volume of the wooden cube= 10 x 10 x 10 = 1000 cm3When the cubic block floats, the volume of water displaced by the submerged part= 10 x 10 x (10-3) = 700 cm3Mass of this water= V x d = 700 x 1 = 700 gAs the cubic block is floating,Weight of the displaced water = Weight of the blockHence, density of the block =Mass /Volume700/ 1000= 0.7 gcm-3
Volume of the wooden cube
= 10 x 10 x 10 = 1000 cm3
When the cubic block floats, the volume of water displaced by the submerged part
= 10 x 10 x (10-3) = 700 cm3
Mass of this water
= V x d = 700 x 1 = 700 g
As the cubic block is floating,
Weight of the displaced water = Weight of the block
Hence, density of the block =Mass /Volume
700/ 1000
= 0.7 gcm-3
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