Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2009 · Marks: · Difficulty:
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?
(a)6 cm
(b)8 cm
(c)10 cm
(d)12 cm
Answer
Answer (as printed): C
Explanation
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 $$\Rightarrow 2 a^{2}=0.2 \times 1000=200 \Rightarrow a^{2}=100 \Rightarrow a=10 .$$
Explanation as extracted from the printed page; notation may be imperfect.