High School

A gold nugget has a density of 38.6 g/cm\(^3\) and a mass of 270.2 g. What is its volume?

A. 7 cm\(^3\)
B. 697.2 cm\(^3\)
C. 6.99 cm\(^3\)
D. 0.186 cm\(^3\)

Answer :

Final answer:

The volume of the gold nugget can be calculated using the formula Volume = Mass / Density. Substituting the given values, the volume of the gold nugget is found to be 6.99 cm³.

Explanation:

The subject of this question is the concept of density in Physics. Density is expressed as the mass per unit of volume of a substance. We can calculate the volume of an object if we know its mass and the density of the material it's made of. The formula for this is: Density = Mass / Volume.

In the case of the gold nugget, we know that its density is 38.6 g/cm³ and its mass is 270.2 g. To find the volume, we rearrange the formula to: Volume = Mass / Density.

Substituting the known values into the formula, we get: Volume = 270.2 g / 38.6 g/cm³ = 6.99 cm³. So, the answer is (c) 6.99 cm³.

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