Question

A cube of wood supporting 200g mass just floats in water. When the mass is removed, the cube rises by 1 cm, the linear dimension of cube is

• A. 10 cm
• B. 20cm
• C. $10\sqrt2 cm$
• D. $5\sqrt2 cm$

Answer 1

Answer: (C)

$10\sqrt2 cm$

Answer 2

Let / be the side of the cube Volume of the cube outside = volume of water displaced due to mass. Water displaced is 200 gm and its volume is 200 cm$^3$ 1$l^2 = 200 \, \Rightarrow \, l = 10 \sqrt{2}$