A 10 cm 3 cube floats in water with a height of 4 cm 3 remaining above the surface. The density of the material from which the cube is made is

Question

A 10 cm 3 cube floats in water with a height of 4 cm 3 remaining above the surface. The density of the material from which the cube is made is (A) 0.6 g cm -3 (B) 1.0 g cm -3 (C) 0.4 g cm -3 (D) 0.24 g cm -3

Tardigrade Admin · Accepted Answer

( textVolume of cube submerged/ textTotal volume) =( text density of cube material / text density of water ) ⇒ (10-4/10)=(d/1) ∴ d=(6/10)=0.6 g cm -3

Q. A $10 c m^{3}$ cube floats in water with a height of $4 c m^{3}$ remaining above the surface. The density of the material from which the cube is made is

$0.6 g c m^{- 3}$

$1.0 g c m^{- 3}$

$0.4 g c m^{- 3}$

$0.24 g c m^{- 3}$

$\frac{Volume of cube submerged}{Total volume}$
$= \frac{density of cube material}{density of water}$
$\Rightarrow \frac{10 - 4}{10} = \frac{d}{1}$
$∴ d = \frac{6}{10} = 0.6 g c m^{- 3}$

Q. A 10cm3 cube floats in water with a height of 4cm3 remaining above the surface. The density of the material from which the cube is made is

0.6gcm−3

1.0gcm−3

0.4gcm−3

0.24gcm−3