SOLUTION: The figure represents an empty cube with a circular opening at the top. The diameter of the opening is half the length of diagonal AB. The outer surface area of cube in square cent

Algebra ->  Surface-area -> SOLUTION: The figure represents an empty cube with a circular opening at the top. The diameter of the opening is half the length of diagonal AB. The outer surface area of cube in square cent      Log On


   

Question 1142817: The figure represents an empty cube with a circular opening at the top. The diameter of the opening is half the length of diagonal AB. The outer surface area of cube in square centimetres is
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

Assuming diagonal AB is for one side of the cube,

Diameter of the empty circle is half of AB
Diameter is %28AB%29%2F2
r, radius of circular opening
r=%28AB%29%2F4



Looking at one side having diagonal AB,
side length.... cross%28sqrt%282%29%28AB%29%2F2%29
..
..

Outer surface area of the cube:
Simplify this.
6%28%28AB%29%2F2%29%5E2-pi%28%28AB%29%2F4%29