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Grade 12th passMechanics

A cube of wood supporting 200gm mass just floats in water. When the mass is removed, the cube ruses by 2cm. What is the size of the cube?

Profile image of satendra
12 Years agoGrade 12th pass
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1 Answer

Profile image of Aditi Chauhan
12 Years ago

Let the edge of cube be l. When mass is on the cube of wood

200g + l3dwoodg = l 3waterg

? l3dwood = l 3water – 200 …..(i)

When the mass is removed

l3dwood = (l-2) l2dwater …..(ii)

From (i) and (ii)

l3dwater – 200 = (l-2) l2dwater

But dwater = 1

? l3 – 200 = l2 (l-2)

? l = 10cm