A solid cube just gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of each side of the cube ?
Options:
A .  6 cm
B .  8 cm
C .  10 cm
D .  12 cm
Answer: Option C Let the length of each side of the cube be a cm Then, Volume of the part of cube outside water = Volume of the mass placed on it ⇒ 2a2 = 0.2 × 1000 ⇒ 2a2 = 200 ⇒ a2 = 100 ⇒ a = 10
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