Question

A wooden cube just floats inside water with a 200 gm mass placed on it. When the mass is removed, the cube floats with its top surface 2 cm above the water level. What is the side of the cube ?



(1) 6 cm
(2) 8 cm
(3) 10 cm
(4) 12 cm

Kindly answer sir/mam.

Answer 1

Let 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

Answer 2

See the pic....it's all there....