Iron has a density of 7.87 g/cm³. What volume would 26.3 g of iron occupy?

Answer 1

The density of an object is a measure of how much matter in a given space in a substance.

The density of an object is its mass in grams divided by its volume in cubic centimeters.

d = m/v

d = 7.87 g/cm³

m = 26.3 g

Solving for volume, v = m / d; v = 26.3 g/ 7.87 g/cm³ = 3.34 cm³

Answer 2

Hey Armando,

Density= Mass/Volume, or d=m/v

If we rearrange this equation, solving for volume, we get that

v= m/d

v= 26.3g/7.87g/cm³

v= 3.34cm³

Hope this helps!

Answer 3

Hi Armando!

Let's pick this problem apart. They're asking for volume which is an amount of space, which can be represented by cm³, or anything similar. We know that density represents mass / volume, in units of g/cm³ or anything similar. Meanwhile, we have a mass of iron, m, and iron's density, ρ (that's the Greek letter for r, rho. Don't mind that it looks like a p.):

m = 26.3 g

ρ = 7.87 g / cm³

We see that cm³ is on the bottom of density so how can we get that to the top and remove grams, g, altogether? Well, we know that since density is mass / volume, and we're trying to find mass, let's set up our equation and solve for volume, V:

m / V = ρ ; multiply both sides by V and divide both sides by ρ

m / ρ = V ; the V's cancel out on one side, while the ρ's cancel out on the other

So now, we can plug in our values:

V = 26.3 g / 7.87 g/cm³

= 3.34 cm³

So there you have it! Please reach out if you have any further questions.

And if you'd like to know why ρ is used for density instead of an English r, or even better a D, Greek academics and such studied densities of Regions (3-D), Surfaces (2-D), and Lines (1-D) - so they used their language's letters for r, s, and l: ρ (lowercase rho), σ (lowercase sigma), and λ (lowercase lambda).