Step 1: \ \

The dimensions of the open-topped box are .

\ \

\ \

\ \

Step 2: \ \

\ \

\ \

\ \

\ \

\ \

\ \

and \ \

and \ \

Step 3: \ \

Find the maximum volume by substituting in . \ \

\ \

\ \

\ \

The height of he box is 1.48 inches.

Solution:

The height of he box is 1.48 inches.