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The density of diamond is 3.51 g/cm3 . the international (but non-si) unit for weighing diamonds is the "carat" (1 carat = 200 mg exactly.) what is volume of a 0.87 carat diamond? answer in units of cm3 .

Respuesta :

To calculate the volume of the diamond, we use the formula

[tex]\rho =\frac{m}{V}[/tex]

Here, [tex]\rho[/tex] is the density and its value given [tex]3.51 g/cm^3[/tex]

and m is mass and its value given[tex]0.87 carat[/tex].

1 carat = 200 mg = 0.200 g

So mass of the diamond, [tex]m= 0.87 carat \times 0.200 g/carat = 0.174 g[/tex]

Substituting these values in above equation we get,

[tex]\rho =\frac{0.174 g}{3.51 g/cm^3} =0.0495 cm^3[/tex]

Thus the volume of given carat diamond is [tex]0.0495 cm^3[/tex].


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