Given:
Volume of trunk is, V = 26,880 cubic inches.
Length of the trucnk is, l = 4 feet.
Width of the trucnk is, w = 28 inches.
The objective is to find the height of the truck.
Since the required height is to be in inches, convert all the given dimensions into inches.
[tex]1\text{feet}=12\text{inches}[/tex]
Then,
[tex]\begin{gathered} 4\text{ f}eet=4\cdot12\text{ inches} \\ 4\text{ f}eet=48\text{ inches} \end{gathered}[/tex]
Now the height of the truck can be calculated as,
[tex]\begin{gathered} V=l\cdot w\cdot h \\ h=\frac{V}{l\cdot w} \end{gathered}[/tex]
Substitute the given values in the above equation,
[tex]\begin{gathered} h=\frac{26,880}{48\cdot28} \\ h=\frac{26,880}{1344} \\ h=20\text{ inches} \end{gathered}[/tex]
Thus, the height of the truck is 20 inches.
Hence, option (F) is the correct answer.
