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.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5