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A CUBE OF wood floating in water supports 200g mass resting at centre of its toop face . when mass is removed, cube rises 2cm . find out volume of cube

A CUBE OF wood floating in water supports 200g mass resting at centre of its toop face . when mass is removed, cube rises 2cm . find out volume of cube

Grade:9

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
Let the edge of cube be l. When mass is on the cube of wood
200 g + l3 d wood g = l3 dwater g 
⇒ l3 dwood = l3 dwater – 200 … (i)
When the mass is removed 
l3 dwood = (l - 2 ) l2 dwater … (ii)
From (i) and (ii) 
l3 dwater - 200 = (l- 2) l2 dwater
But dwater = 1 
∴ l3 - 200 = l2 (l - 2)
⇒ l = 10 cm
Hence volume = 10³ = 1000 cm³
 
Regards
Arun (askIITians forum expert)

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