Question

Can someone help me and let me know if my answer is correct?

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

276.92

Answer 1

276.92 cubic cm.

Explanation:

Given :

A large emerald with a mass of 764.3 grams was recently discovered in a mine.

The density of the emerald is
`2.76gm/cm^3`

To Find: what is the volume?

Solution:

Density =
`2.76gm/cm^3`

Mass = 764.3 grams

`Volume=(Mass)/(Density)`

`Volume=(764.3)/(2.76)`

`Volume=276.92`

Hence the volume of large emerald is 276.92 cubic cm.

Answer 2

The answer is 276.92

The density (D) of is quotient of mass (m) and volume (V):

`D = (m)/(V)`

It is given:
m = 764.3 g
D = 2.76 g/cm³
V = ?

Since:

`D = (m)/(V)`
⇒
`V= (m)/(D)= (764.3g)/(2.76g/cm^(3) ) = 276.92 cm ^(3)`

Therefore, the volume of the emerald is 276.92 cm² and your answer is correct.