The missing fraction is -1/12
Answer:
Step-by-step explanation:
![\left[\begin{array}{ccc}1&3&3\\-4&3&3\end{array}\right] -\left[\begin{array}{ccc}4&-3&4\\-1&5&0\end{array}\right] =\left[\begin{array}{ccc}1-4&3+3&3-4\\-4+1&3-5&3-0\end{array}\right] =\left[\begin{array}{ccc}-3&6&-1\\-3&-2&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%263%5C%5C-4%263%263%5Cend%7Barray%7D%5Cright%5D%20-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-3%264%5C%5C-1%265%260%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1-4%263%2B3%263-4%5C%5C-4%2B1%263-5%263-0%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%266%26-1%5C%5C-3%26-2%263%5Cend%7Barray%7D%5Cright%5D)
Well, since it is a cube, we know the length of all the sides of 10 cm, so we can create a triangle using the sides of a square and use pythagorean theorem
A²+B²=C²
C being the hypotenuse, or the diagonal we are looking for, so 10²+10² = 200
Then we square root to find C, so √200 = 14.14213562
