Answer:
The rate of change of the height of the box at which is decreasing is 
centimeters per second.
Step-by-step explanation:
From Geometry the volume of a rectangular box (
), measured in cubic centimeters, with a square base is modelled by the following formula:
(Eq. 1)
Where:
- Area of the base, measured in square centimeters.
- Height of the box, measured in centimeters.
The height of the box is cleared within the formula:
If we know that 
and 
, then the current height of the box is:
The rate of change of volume in time (
), measured in cubic centimeters per second, is derived from (Eq. 1):
(Eq. 2)
Where:
- Rate of change of the area of the base in time, measured in square centimeters per second.
- Rate of change of height in time, measured in centimeters per second.
If we get that 
, 
, and , then the equation above is reduced into this form:
Then, the rate of change of the height of the box at which is decreasing is:
The rate of change of the height of the box at which is decreasing is centimeters per second.
