Answer :
It is given in the question that the volume of the rectangular box is 336 cubic inches . And length is 12 inches and width is 7 inches.
We have to find the height of the box. Let it be h inches .
We will use the formula of volume of rectangular box, which is
[tex] Volume = Length * Width * Height [/tex]
[tex] 336 = 12*7*h
\\
336 = 84 h
[/tex]
Dividing both sides by 84
[tex] \frac{336}{84} = \frac{84h}{84}
\\
h = 4 inches [/tex]
So the height of the box is 4 inches .