Respuesta :
Alright, lets get started.
First of all, I assume you have provided below details in your question :
Its 40 feet container
The container is 2.4 meters wide
Container has enclosed volume of 2,660 cubic feet.
We will try to convert everything into inches because we are asked to find height of container in units of inches.
Length of container = 40 feet
Length of container [tex] = 40 * 12 [/tex]
Length of container = 480 inches
Width of container = 2.4 meters
Width of container[tex] = 2.4 * 39.37 [/tex]
Width of container = 94.49 inches
Volume of the container = 2660 cubic feet
Volume of the container[tex] = 2660 * 1728 [/tex]
Volume of the container = 4596480 cubc inches
Volume [tex] (V) = L*W*H [/tex]
[tex] 4596480 = 480*94.49*H [/tex]
[tex] 4596480 = 45355.2*H [/tex]
Dividing by 45355.2 in both sides
[tex] \frac{45355.2*H}{45355.2} = \frac{4596480}{45355.2} [/tex]
[tex] H = 101.34 inches [/tex]
Hence the height of the container is 101.34 inches : Answer
Hope it will help :)
