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chloeethoma24
19.02.2020 •
Mathematics
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
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Ответ:
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.
Ответ:
18/2=9. yes it's true ur correct