**The Mutchkin and the Noggin (a) A mutchkin is a Scottish unit of liquid measure equal to 0.42 L. How many mutchkins are required to fill a container that measures one foot on a side? (b) A noggin is a volume equal to 0.28 mutchkin. What is the conversion factor between noggins and gallons?**

**Answer:**

**(a)** 1 mutchkin = 0.42L

Value of 1 cubic foot = 28.316846592 liters

Volume of a cube of side 1ft is

**(b)**

1 noggin = 0.28 mutchkins

1 mutchkin =

1 liquid gallon = 3.7854 L

1 L = 2.380952 mutchkins

1 liquid gallon =

= 9.01277 mutchkins

Therefore, the conversion between noggins and gallons is