we know that
the volume of a rectangular prism is equal to

where
L is the length of the box
W is the width of the box
H is is the height of the box
in this problem we have




<u>Find the length of the box</u>
Using a graph tool-------> we will determine the roots of the equation of volume
see the attached figure
the roots are

so

therefore
<u>the answer is</u>
the length of the box is equal to 
As per Descartes Theorem, a polynomial of degree n (n is the highest exponent of a polynomial) has n roots (or number of zeros) be it positive, negative, real or complex.
in f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12, the highest degree is 6, then it has
a total of 6 zeros, positive, negative, real or complex.
Divide both sides by -6 and don't forget to flip the inequality symbol
-7>d
d<-7
The geometric means between -5 and -125 is; 25
<h3>How to find the geometric mean?</h3>
To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.
For example, geometric mean between A and B is;
G.M = √(A * B)
Thus, geometric mean between -5 and -125 is;
G.M = √(-5 * -125)
G.M = √625
G.M = 25
There could be other geometric means between this like;
G.M = √(-5 * -45) = 15
Or GM = √(-10 * -40) = 20
Read more about geometric mean at; brainly.com/question/17266157
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