Answer: [tex]54\ in.[/tex]
Step-by-step explanation:
Given
The volume of the toolbox is [tex]9072\ in.^3[/tex]
The height of the toolbox is [tex]h=14\ in.[/tex]
The width of the toolbox is [tex]w=1\ ft\ or\ 12\ in.[/tex]
Suppose the length of the box is [tex]l[/tex]
The volume of the toolbox is given by [tex]V=l\times w\times h[/tex]
Insert the value to find the length
[tex]\Rightarrow 9072=14\times 12\times l\\\\\Rightarrow l=\dfrac{9072}{168}\\\\\Rightarrow l=54\ in.[/tex]
The length of the box is [tex]54\ in.[/tex]
