Answer:
[tex]V=2.2\ \text{miles}^3[/tex]
Step-by-step explanation:
Given that,
The length of hut, [tex]l=8\dfrac{1}{4}\ mi=\dfrac{33}{4}\ mi[/tex]
Width of the hut, [tex]b=\dfrac{4}{5}\ mi[/tex]
Height of the hut, [tex]h=\dfrac{1}{3}\ mi[/tex]
We need to find the volume of the hut. The volume of hut will be equal to volume of cuboid i.e.
[tex]V=lbh\\\\V=\dfrac{33}{4}\times \dfrac{4}{5}\times \dfrac{1}{3}\\\\V=2.2\ \text{miles}^3[/tex]
So, the volume of the hut is [tex]2.2\ \text{miles}^3[/tex].