# Density Formula

Density Formula

Density is a measure of relative compactness, or how heavy an object is relative to its size. Density is defined as mass, m, in a given unit volume, V.

*ρ = m/V*

*ρ* = density, kg/m^{3}, or g/(cm)^{3}

*m* = mass, in kg or g

*V* = volume, in m^{3} or (cm)^{3}

Density Formula Questions.

1) You are packing for a trip to Mars. You are given a cubical box to pack that is 1.71 m on a side. Due to fuel and space limitations, the final density, ρ, of your box must be no more than 2 kg/m^{3}. What is the largest mass you can pack?

Answer: The volume, V = (1.71 m x 1.71 m x 1.71 m) = 5.000 m^{3} for cubical box. The allowed density is ρ = 2 kg/m^{3}. Use the density formula to find mass.

*ρ = m/V*

*m* = ρV

*m* = (2kg/m^{3}) x (5.000 m^{3})

*m* = 10 kg

The maximum allowed mass, m, is 10 kilos.

2) If you find a shiny golden rock with a volume of 0.008 (cm)^{3} and a mass of 0.04 g, is it gold or fool’s gold? The density of gold is 19.3 g/(cm)^{3} and the density of fool’s gold (iron pyrite) is ~5.0 g/(cm)3.

Answer: For gold, ρ = 19.3 g/(cm)^{3}. The V = 0.008 (cm)^{3} for this rock. Use the density equation to solve for m, mass of a gold rock. Use the same equation to solve for the mass of a fool’s gold rock.

*ρ = m/V*

*m* = ρV

*m* = 19.3 g/(cm)^{3} x (0.008 (cm)^{3} = 0.1544 g for gold

*m* = 5.0 g/(cm)^{3} x 0.008 (cm)^{3} = 0.04 g for fool’s gold.

The mass of the rock you found is identical with the mass of fool’s gold, so you won’t be ‘rich’ today.

Like!! Thank you for publishing this awesome article.

I’ve been surfing online more than 3 hours today, yet I never

found any interesting article like yours. It’s

pretty worth enough for me. Personally, if all webmasters and

bloggers made good content as you did, the web will be a lot more useful than ever before.

I’m amazed, I have to admit. Rarely do I come across a blog that’s equally educative and interesting, and without a doubt, you’ve hit the nail on the head. The problem is something which not enough men and women are speaking intelligently about. I am very happy I came across this in my hunt for something concerning this.

I simply want to tell you that I am newbie to blogging and site-building and certainly savored this web blog. Probably I’m likely to bookmark your site . You actually come with remarkable writings. Regards for sharing your blog site.

I simply want to mention I’m newbie to blogs and certainly savored you’re web site. Likely I’m likely to bookmark your website . You definitely come with superb articles and reviews. Thanks a bunch for sharing with us your web-site.