A 2.0 cm x 2.0cm x 6.0 cm block floats in water with its long axis vertical. The length of the block above water is 3.0cm What is the block's mass density

Respuesta :

The density of the block is 0.5 g/cm³ and the mass is 12 g.

Volume of the block

The volume of the block is calculated as follows;

V = Lwh

V = 2 x 2 x 6 = 24 cm³

Specific gravity of the block

This is the fraction of the block submerged in water

S.G = 3.0cm / 6.0 cm = 0.5

Density of the block

Density of the bock is calculated as follows;

[tex]S.G = \frac{\rho _{block}}{\rho_{water}} \\\\0.5 = \frac{\rho _{block}}{1} \\\\\rho _{block} = 0.5 \ g/cm^3[/tex]

Mass of the block

m = 0.5 g/cm³ x 24 cm³

m = 12 g.

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