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Question

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

A
5 cm
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B
10 cm
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C
15 cm
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D
20 cm
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Solution

The correct option is B 10 cm
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

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