Hello,
Can you please assist with this:
The rectangular solid above is made up of eight cubes of the same size, each of which has exactly one face painted blue. What is the greatest fraction of the total surface area of the solid that could be blue?
A) 1/6
B) 3/14
C) 1/4
D) 2/7
E) 1/3
OA: D
However, I am getting A
I tried to solve as follows:
The area of each face of the cube is e^2, where e is the edge of the cube. Hence, let the face that is painted blue be of area e^2.
Total painted area = 8 (e^2)
Total area of all the cubes = 8 (6e^2)
Hence, greatest fraction of the total surface area painted blue = (8 e^2) / (8 ( 6e^2)) = [spoiler]1/6[/spoiler]
Thanks,
Sri
Can you please assist with this:
The rectangular solid above is made up of eight cubes of the same size, each of which has exactly one face painted blue. What is the greatest fraction of the total surface area of the solid that could be blue?
A) 1/6
B) 3/14
C) 1/4
D) 2/7
E) 1/3
OA: D
However, I am getting A
I tried to solve as follows:
The area of each face of the cube is e^2, where e is the edge of the cube. Hence, let the face that is painted blue be of area e^2.
Total painted area = 8 (e^2)
Total area of all the cubes = 8 (6e^2)
Hence, greatest fraction of the total surface area painted blue = (8 e^2) / (8 ( 6e^2)) = [spoiler]1/6[/spoiler]
Thanks,
Sri
- Attachments
-
- cube
