Answer:
41 2/3 feet
Step-by-step explanation:
The sum of wall lengths (in feet) is ...
(12 1/4) + (10) + (12 1/4) + (10 -2 5/6)
= (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)
= 42 + (3/12 + 3/12 -10/12)
= 42 - 4/12 = 42 - 1/3
= 41 2/3 . . . feet
Explanation:
To achive that you have to piant a ring in red, which will have its big diameter equal to the sphere diameter and its small diameter equal to the cube diagonal.
The diagonal of the cube can be calculated using Pithagoras:

Where D is the diagonal and L is the side of the cube
Mulitply second equation by 2 and add to first
3y+2z=12
<u>2y-2z=18 +</u>
5y+0z=30
5y=30
divide 5
y=6
sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3
x=-3
y=6
After you cut off 6 pieces, the rope is 18.25 inches long