A large emerald with a mass of 764.3 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams/cm cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

Respuesta :

Density = Mass / Volume
Volume = Mass / Density
Volume = 764.3 / 2.76
Volume = 276.92 cubic centimeters


Answer:

The volume of emerald is 276.9 cubic centimeters.

Step-by-step explanation:

For this we have to use the density equation:

[tex]Density=\frac{Mass}{Volume}[/tex]

In this case we have a value of density and mass, replacing in the equation we can find the volume value:

[tex]2.76\frac{grams}{cm3} =\frac{764.3grams}{Volume}[/tex]

Clearing Volume:

[tex]Volume=\frac{764.3grams}{2.76grmas/cm3}[/tex]

[tex]Volume=276.9cm3[/tex]

The volume of emerald is 276.9 cubic centimeters.