Since an ark is 2.5 cubits in length and 1.5 cubits in width and height.
It is given that a cubit is equivalent to 17.7 in.
We have to determine the volume of the ark in cubic feet.
Since 1 feet = 12 inches.
Since, length = 2.5 cubits
= [tex]2.5 \times 17.7[/tex] inches
= 44.25 inches
= [tex]\frac{44.25}{12}[/tex]
= 3.7 feet
Now, width = 1.5 cubits
= [tex]1.5 \times 17.7[/tex] inches
= 26.55 inches
= [tex]\frac{26.55}{12}[/tex]
= 2.2 feet
Now, height = 1.5 cubits
= [tex]1.5 \times 17.7[/tex] inches
= 26.55 inches
= [tex]\frac{26.55}{12}[/tex]
= 2.2 feet
SO, Volume of rectangular prism = [tex]length \times width \times height[/tex]
So, Volume of ark= 3.7 [tex]\times 2.2 \times 2.2[/tex]
= 17.9
= 18 cubic feet.
Therefore, the volume of an ark is 18 cubic feet.