Let
x--------> the length side of the square base of the box
y-------> the height of the box
we know that
The surface area of the box is equal to
so
--------> equation A
the volume of the box is equal to
--------> equation B
Substitute the equation A in the equation B
using a graphing tool
see the attached figure
For 
the point 
is a maximum of the function
<u>Find the dimensions of the box </u>
Find the value of y
<u>The dimensions of the box are</u>
<u>The largest possible volume of the box is</u>
Answer:
V(x) = (x +4)(x +2)(2x +11)
Step-by-step explanation:
For length L = (x+4), the height is ...
2L +3 = 2(x+4) +3
= 2x +8 +3
= 2x +11
The volume is the product of length, width, and height, so is ...
V = (x +4)(x +2)(2x +11)
-2
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The equation for resolving couples will come in place
Using the unit vectors by i and j along the x-axis and the y-axis you'll express it as a Cartesian vector.
<h3>
Couple moment and Cartesian vector</h3>
Couple moment:This looks at the product of the forces acting on a body( in this context a steering wheel ) by the perpendicular distance that exist amidst the forces.
Cartesian vector:this is the representation of unit vectors by i and j along the x-axis and the y-axis, respectively.
Therefore, in calculating the <em>couple</em> moment t acting on the steering wheel, the equation for resolving couples will come in place
Using the unit vectors by i and j along the x-axis and the y-axis you'll express it as a Cartesian vector.
More on Cartesian Co-ordinate
brainly.com/question/4511664
