Volume of a Prism
To find the volume of a prism, we can use the following formula:

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.
For a rectangular prism, the base area is solved using the following formula:
⇒ where l is the length and w is the width
Solving the Question
We're given:
- V = 4352 ft³
- l = 16 ft
- w = 16 ft
- We need to solve for the height of the box.
First, find the base area:

Therefore, the base area is equal to 256 ft².
Now, modify the volume formula to isolate the height:

⇒ Divide both sides by the base area:

⇒ Plug in the given values:

Therefore, the height of the box is 17 ft.
Answer
The height of the box is 17 ft.