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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

Respuesta :

JcAlmighty
The answer is 276.92

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

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

Since:
[tex]D = \frac{m}{V} [/tex]
⇒ [tex]V= \frac{m}{D}= \frac{764.3g}{2.76g/cm^{3} } = 276.92 cm ^{3} [/tex]

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 [tex]2.76gm/cm^3[/tex]

To Find: what is the volume?

Solution:

Density =[tex]2.76gm/cm^3[/tex]

Mass = 764.3 grams

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

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

[tex] Volume=276.92[/tex]

Hence the volume of large emerald is 276.92 cubic cm.

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