## Relation Between Dry unit Weight, Bulk unit Weight & Water Content

In this article,We will make the formula/**relation between the dry unit weight(), bulk unit weight() and water content(w)**.

[**Note:** Bulk unit weight means **bulk density**, and dry unit weight means **dry density**. So, be careful if the question is like that; derive the **relation between bulk density, dry density and water content**, therefore, the answer will be same.]

Let,

- W = Total weight of given soil mass.
- V = Total volume of the given soil mass.
- = Weight of soil solid in a given soil mass.
- = Weight of water present in the given soil mass.
- w = Moisture content or Water content.

From the definition of **water content**, we can write,

[Add 1 in both sides]

So,

Or,

[ We know, Total weight = Weight of water + Weight of soil solid. So, ]

Or,

Or,

Again from the definition of **dry unit weight**, We have,

[Now, put the value of , which we have got from the above equation]

Hence,

[We know, ]

Or,

So, the final relation or formula is

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