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Verified Answer :

d=m/v
8.4=510/v
v=510/8.4
v=60.7cm3

The volume of the brass is 64.286 cm³.

Density

It represents the heaviness of an object. It is the ratio of the mass of the object to the volume of the object. The density is given by

\(\rm Density = \dfrac{mass }{Volume}\)

Given

The density of a piece of brass is 8.4 g/cm3.

The mass of the brass is 510 g.

How to calculate the volume of the brass?

The density of a piece of brass is 8.4 g/cm3.

The mass of the brass is 510 g.

We know the formula,

\(\begin{aligned} \rm Density &= \rm \dfrac{mass }{Volume}\\\\8.4 &= \rm \dfrac{510}{Volume}\\\\\rm Volume &= \dfrac{540}{8.4}\\\\\rm Volume &= 64.286\\\end{aligned}\)

Thus, the volume of the brass is 64.286 cm³.

More about the density link is given below.

https://brainly.com/question/952755