A rectangular box initially has length 3 meters, width 4 meters and height 2 meters. Its volume is increasing at a rate of 9 cubic meters per hour. If the width and height are both increasing at a rate of 40 centimeters per hour, how quickly does the length increase by

The length of rectangular box is increasing at a rate 0.225 meters per hour.                          

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 3 m

Width,w = 4 m

Height,h = 2 m

We have to find the rate of increase of length.

Volume of cuboid =

Differentiating we get,

Putting values, we get,

Thus, the length of rectangular box is increasing at a rate 0.225 meters per hour.

answer: 40.95

step-by-step explanation: