Question

A wooden cube just floats inside water, when a $200g$ mass is placed on iyt. When the mass is removed the cube is $2cm$ above the water level. The size of the cube is;

• A. $5cm$
• B. $10cm$
• C. $15cm$
• D. $20cm$

Answer 1

The correct option is B $10cm$

assume length of one edge = x
Vol. of cube = L*B*W
Vol. of cube = x*x*x
Vol. of cube = x^3
Vol. of cube = Area * height.
Vol. of cube = x² * 2
Vol. of cube = 2x² cm^3
200 mg = 2x²
x² = 200 mg / 2
x = | ± √100 |
x = 10 cm