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JEE Main202528 Jan 2025Evening ShiftPhysicsMechanical Properties of FluidsActual

A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water ? (Given : density of water =1000 ~kg ~m ⁻³ )

Options

  1. A1400 ~cm ^3
  2. B600 ~cm ^3
  3. C4000 ~cm ^3
  4. D400 ~cm ^3

Correct answer

B. 600 ~cm ^3

Step-by-step solution

Volume of cube inside water aligned & = ( Denslty of cube Denslty of water ) Volume of cube & = Mass of cube Denslty of water & = 400 gm 1 gm / cm ^3 & =400 ~cm ^3 aligned Volume of cube outside water aligned & = Volume of cube - Volume of cube inside water & =1000 ~cm ^3-400 ~cm ^3 & =600 ~cm ^3 aligned

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