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A 700 gm solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? The density of the water 1000 kgm-3
  • a)
    300 cm3
  • b)
    100 cm3
  • c)
    400 cm3
  • d)
    200 cm3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A 700 gm solid cube having an edge of length 10 cm floats in water. Ho...
Concept:
Archimedes Principle: When a body is fully or partially dipped in fluid, the fluid exerts a contact force on the body. The resultant of this contact force is known as buoyancy or buoyant force.
  • This force acts vertically upwards (opposite to the weight of the body).
  • Mathematically, F = Vρg [where, V = volume of liquid displaced, ρ = density of the liquid, g = acceleration due to gravity.]
  • A body floats on a fluid if the average density of the body is less than that of fluid.
  • The weight of the liquid displaced by the immersed part of the body must be equal to the weight of the body.
Calculation:
Given:
m = 700 g = 0.7 kg, a = 10 cm 
In floating bodies,
Weight of fluid = Buoyant force
Buoyant force = weight of water displaced. If V is the volume of cube inside the water, then the weight of water displaced = Vρg.
⇒ Vρg = 0.7 g
Total volume of the cube = (10 cm) 3 = 1000 cm3
∴ Volume outside the water = 1000 – 700 = 300 cm3
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A 700 gm solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? The density of the water 1000 kgm-3a)300 cm3b)100 cm3c)400 cm3d)200 cm3Correct answer is option 'A'. Can you explain this answer?
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A 700 gm solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? The density of the water 1000 kgm-3a)300 cm3b)100 cm3c)400 cm3d)200 cm3Correct answer is option 'A'. Can you explain this answer? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about A 700 gm solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? The density of the water 1000 kgm-3a)300 cm3b)100 cm3c)400 cm3d)200 cm3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 700 gm solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? The density of the water 1000 kgm-3a)300 cm3b)100 cm3c)400 cm3d)200 cm3Correct answer is option 'A'. Can you explain this answer?.
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