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]
Answer:
[tex]67.41Mutchkin[/tex]
Explanation:
Hello,
In this case, the equivalence is:
[tex]1Mutchkin=0.42L[/tex]
Thus, the volume of the container is based on the given one foot on a side as:
[tex]V=1ft^3[/tex]
In addition, the equivalence between cubic feet and liters is:
[tex]1ft^3=28.317L[/tex]
Thus, the mutchkins turns out:
[tex]1ft^3*\frac{28.317L}{1ft^3} *\frac{1Mutchkin}{0.42L} =67.41Mutchkin[/tex]
Best regards.
