Answer:
Step-by-step explanation:
Hello!
To find the total length when it is 18 feet 3 inches, we must add both lengths:
18ft 3in + 18ft 3in = 36ft 6in
For the width, add: 10ft 8in + 10ft 8in = 20ft 16in, which converts to 21ft 4in
Therefore, l + w = 57ft 10in
I hope this is helpful:)
Answer:
The highest achievable volume for the box is 2000000 cubic meters.
Step-by-step explanation:
Below is an outline of the volume (), measured in cubic centimeters, and surface area (
), measured in square centimeters, for a box featuring a square base:
(1)
(2)
Where:
- The length of the base's side, in centimeters.
- The height of the box, in centimeters.
Using (2), we isolate in the formula:
Then, we substitute into (1) and simplify the outcome:
(3)
Next, we calculate the first and second derivatives of this expression:
(4)
(5)
If and
, then we find that the critical value for the base's side length is:
Subsequently, we assess this outcome using the second derivative's expression:
According to Second Derivative Test, this critical value signifies an absolute maximum. Consequently, the largest volume obtainable for the box is:
The highest achievable volume for the box is 2000000 cubic meters.