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A boat having a length 3 m and breadth 2 m is floating on a lake The boat sinks by 1 cm when a man gets on it. The mass of man is :__________?

Correct answer: B. 60 kg

  • A. 12 kg
  • B. 60 kg
  • C. 72 kg
  • D. 96 kg

Explanation

The sinking displaces water with volume 3 m x 2 m x 0.01 m = 0.06 m3. Since floating equilibrium makes the displaced water's mass equal to the man's mass, mass = 1000 kg/m3 x 0.06 m3 = 60 kg. The likely mistake is option c, 72 kg, from using an incorrect displaced volume or water density.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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