The post office will accept packages whose combined length and girth is at most 42 inches. (the girth is the perimeter/distance
around the package perpendicular to the length; for a rectangular box, the length is the largest of the three dimensions.) what is the largest volume that can be sent in a rectangular box? (round answer to 2 decimal places.)
1 answer:
If x represents the length of the box, then 42-x will be the girth. Since the largest area for a given girth is that of a square, the side length of the square cross section is (42 -x)/4.
The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.
The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.
You might be interested in
Correct Question:
A car/bus travels at a speed of 45 km/h. How far will it travel in 36 minutes?
(Note- Corrected part is written in bold.)
Solution:
- Hence, a car/bus travels 27 km in 36 mins.