9514 1404 393
Answer:
2187
Step-by-step explanation:
This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...
an = a1·r^(n-1)
an = 3^(n-1)
Then the 8th term is ...
a8 = 3^(8-1) = 2187
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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10% of 35 is 3.5
20%= 7
50% = 17.5
25% = 8.75
10% of 250g is 25
10% of 350 is 35
10% of 205 is 20.5
10% of 305 is 30.5
lemme get the branliest
A = pi r^2
a = 3.14 * 97^2
a = 29,544.26 mm^2
I think the answer is 8.5 h