freenKersKat1h1
Answered

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

Verified Answer :

JcAlmighty

The answer is 276.92

The density (D) of is quotient of mass (m) and
volume (V):
\(D = \frac{m}{V}\)

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

Since:
\(D = \frac{m}{V}\)
⇒ \(V= \frac{m}{D}= \frac{764.3g}{2.76g/cm^{3} } = 276.92 cm ^{3}\)

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

Answer:

276.92 cubic cm.

Step-by-step 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

\(Volume=\frac{Mass}{Density}\)

\(Volume=\frac{764.3}{2.76}\)

\(Volume=276.92\)

Hence the volume of large emerald is 276.92 cubic cm.