The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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1/7 = 0.14285714
rounded to the nearest thousandth, it would be 0.143
Answer:
1- 4x -7 =29, x= 9
2-x/3 - 8 = 12, x=60
Step-by-step explanation:
4x-7 =29
4x= 29 +7
4x= 36
x= 9
x/3 -8 =12
x/3 = 12+ 8
x/3 = 20
x= 20(3)
x= 60
Sharing with three friends:
1/24 of original pie
Sharing with little brother:
1/12 of original pie
Hello,
-(-5) is also known as just a plain positive 5. When two negatives are multiplied together, they make the number positive. So, the location of -(-5) on a number line would be on the number 5. I hope this helps!
May
