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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Definition of additive inverse.- If two numbers are added together and the sum is zero, they are the additive inverse of each other.
<span>......................................... IF A + B = 0 , they are the additive inverse of each other.
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<span>Multiplicative Inverse.- If two numbers are multiplied together and the product is one. They are the multiplicative inverse of each other, also called reciprocal. </span>
<span>......................................... A.B = 1 , they are the multiplicative inverse of each other.
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<span>Example of: </span>
<span>Additive inverses :................ 5 + ( - 5 ) = 0 </span>
<span>Multiplicative inverses...........5 x 1/5 = 1 </span>
I think the correct answer from the choices listed above is the third option. <span>If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the actual value of the parameter, then it is a biased estimator. Hope this answers the question.
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Answer:
Step-by-step explanation:
Slope formula
Here
Slope can be calculated as
