Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
Hey!
To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.
<em>Original Equation :</em>

<em>New Equation {Added Subtract

to Both Sides} :</em>

<em>Solution {New Equation Solved} :</em>

<em>So, this means that in the equation provided</em>,
.Hope this helps!
- Lindsey Frazier ♥
The angular size of Mars, as seen from the Earth, when it was closest to the Earth is 25 arcseconds.
<h3>What is angular size?</h3>
It should be noted that angular size is the object's apparent size as seen from an observer on Earth.
At its closest approach, the angular size of Mars is 25 arcseconds. This was known through the use of a telescope.
Learn more about Mars on:
brainly.com/question/644043
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