Answer:
18" X 18" X 36"
Step-by-step explanation:
Given a square base container of height h, let a side of the base =s
The volume of the container,
If the sum of its height and girth (the perimeter of its base) equals 108 in
![4s+h = 108\\h = 108-4s](https://tex.z-dn.net/?f=4s%2Bh%20%3D%20108%5C%5Ch%20%3D%20108-4s)
Substituting h=108-4s into V
![V= s^2(108-4s)](https://tex.z-dn.net/?f=V%3D%20s%5E2%28108-4s%29)
We are required to determine the maximum volume of such container, first we take the derivative:
![V'(s)= s(216-12s)](https://tex.z-dn.net/?f=V%27%28s%29%3D%20s%28216-12s%29)
Optimizing:
![s(216-12s)=0\\216-12s=0\\12s=216\\s=216 \div 12\\s=18](https://tex.z-dn.net/?f=s%28216-12s%29%3D0%5C%5C216-12s%3D0%5C%5C12s%3D216%5C%5Cs%3D216%20%5Cdiv%2012%5C%5Cs%3D18)
Recall that: h = 108-4s
![h = 108-4(18)=108-72=36inch](https://tex.z-dn.net/?f=h%20%3D%20108-4%2818%29%3D108-72%3D36inch)
The dimensions of the carton are 18" X 18" X 36".
Answer:
He mows 80 yards.
Make meh happy pls ;)
Step-by-step explanation:
Answer:
Yikes
Step-by-step explanation:
we should private talk in chat. I could explain it to you.
Answer:
1,620,000
Step-by-step explanation:
360×4500
=1,620,000
is the answer
4x^2 + 12x + 9 - 2x^2 - 7x - 15
4x^2 - 2x^2 = 2x^2
12x - 7x = 5x
9 - 15 = -6
2x^2 + 5x - 6