The Density Triangle - A.K.A.: The DMV Triangle

The Density Triangle

(Also known as the "DMV Triangle."

And How To Use This Nifty Little Gadget!!!



What do you want to know?

What is the "Density Triangle?"

What does it look like?

How do we use it?

Why would we want to use this?

What else can it tell us?



What is the "Density Triangle?"

The density triangle is a trick that will tell which formula to use in order to find the density, mass, or volume when you have the other two.

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What does it look like?

The density triangle is a triangle that is split into three sections. Density, which is symbolized by the letter "D," is in the left bottom section, the Mass, which is symbolized by the letter "M," is on the top, and the volume,which is symbolized by the letter "V, is on the bottom right.

Write the letters D, M, and V in the triangle in the order that you reach each section as you go from left to right. The diagram below will show you how this is done.

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How do we use it?

To use the DMV Triangle, after you have set it up, simply cover the item that you want to find and you have to formula!!! Below are a few demonstrations.

(To see how to set it up click here!)

Start with the DMV Triangle:

To find the formula for "Density," cover up the "D" (as shown below).

This leaves the the "M" over the "V," giving you the formula "M/V." Therefore, the fomula is D=M/V

To find the formula for "Volume," cover up the "V" (as shown below).

This leaves the the "M" over the "D," giving you the formula "M/D." Therefore, the formula is V=M/D.

To find the formula for "Mass," cover up the "M" (as shown below).

This leaves the the "D" over the "V," giving you the formula "D x V." Therefore, the formula is M=D x V.

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Why would we want to use this?

By using this trick, you never have to remember any of the actual formulas. All you have to do is remember "DMV." Since the Department of Motor Vehicles. The trick is knowing where each letter goes, but, once you have that down, each of the formulas can be seen easily, without a chance of error.

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What else can it tell us?

The density triangle can be used for other things as well. Any formula that has: "x=y/z" can be set up as a triangle. For example, to find the "gradient" of an isoline, you need to find "the change in field over the change in distance."

To simplify this, I would change the type of isoline to a specific one that makes it easier to remember. My suggestion is to change the isolines to contour lines, because in the case of contour lines, the field is elevation, which provides an easier trick for remembering the formula.

The formula now goes from "G=F/D," where G=Gradient, F=Field, and D=Distance to "The GED Triangle. The field in contour lines is Elevation. So, now it is change in elevation over change in distance, which gives us the easy GED to remember.

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