SOLUTION: Each of the vertices of section ABCD is at the trisection of the edges of the cube as shown. Find the area of the section. I apologize for the hassle, but since the image of the

Algebra ->  Surface-area -> SOLUTION: Each of the vertices of section ABCD is at the trisection of the edges of the cube as shown. Find the area of the section. I apologize for the hassle, but since the image of the      Log On


   

Question 1166073: Each of the vertices of section ABCD is at the trisection of the edges of the cube as shown. Find the area of the section.
I apologize for the hassle, but since the image of the diagram cannot be inserted in the text, I have provided a image-hosting link instead: https://ibb.co/Z135Z2Y
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Picture the cube with side length s divided into 3*3*3=27 cubes of side length s/3.

Each of the sides of the section is then the space diagonal of a rectangular prism with edge lengths s, s/3, and 2s/3.

The area of the section is the square of its side length.



ANSWER: The area of the section is 14/9 times the area of one face of the cube.