Question

The mutchkin and the noggin 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?

Answer 1

Answer:

$67.41Mutchkin$

Explanation:

Hello,

In this case, the equivalence is:

$1Mutchkin=0.42L$

Thus, the volume of the container is based on the given one foot on a side as:

$V=1ft^3$

In addition, the equivalence between cubic feet and liters is:

$1ft^3=28.317L$

Thus, the mutchkins turns out:

$1ft^3*\frac{28.317L}{1ft^3} *\frac{1Mutchkin}{0.42L} =67.41Mutchkin$

Best regards.

Answer 2

Given that 1 mutchkin (a scottish unit) = 0.42 L

Now the volume of container (assuming it to be cubical, as only one side is given) = a^3 = 1^3 = 1ft^3

Now 1 foot = 3.048 dm [1 decimeter= 0.1 m]

Hence 1 ft X 1ft X 1ft = 3.048 X 3.048 X 3.048 dm^3 = 28.32 dm^3

We know that 1L =  1 dm^3

therefore volume of container in Litres = 28.32 L

now as given that 0.42 L = 1 mutchkin

therefore 1 L = 1 / 0.42 mutchkin

28.32 L = 28.32 / 0.42 mutchkin = 67.43 mutchkins [This much mutchkin is required to fill the container]