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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Answer:
Step-by-step ef(x)=-2x+5……i
and f(-3x)=?
let x=-3x so that
-2x+5=-3x
x=5
substitutinx x into… i
f(x)=-10+5=-5
f(5)=-5………ii
now f(–3x)=f(-15)
scrutinizing… ii ,we can propose that
f(-15)=15.
Thus f(-3x)=15xplanation:
Answer:
245
Step-by-step explanation:
$49.00 times 5 is 245. The 5 came from the question because it says a normal work week has 5 days so you would multiply $49.00 by 5
Answer:
33
Step-by-step explanation:
If you simplify what the question is saying, it's basically..
8 is 24% of <u>what number?</u>
To find out, you can simply set up an equation.
((24% = 0.24 as a decimal (move the decimal point two times to the left))
8 = 0.24 x N (N is just the 'whole')
To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.
The question says to round to the nearest whole number, so the answer would just be 33.
Answer:
5/8
Step-by-step explanation:
