SOLUTION: Assuming that two holes go all the way through and the third only halfway through, what is the total number of faces of the solid? https://ibb.co/M5BScx6 I got 26, but I thi

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Question 1199951: Assuming that two holes go all the way through and the third
only halfway through, what is the total number of faces of the solid?
https://ibb.co/M5BScx6
I got 26, but I think that's wrong...
Thanks!
Found 3 solutions by Solver92311, math_tutor2020, ikleyn:
Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!


Why do you think 26 is wrong?


John

My calculator said it, I believe it, that settles it

From
I > Ø
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

The cube starts off with 6 faces.

Drill a hole all the way through and we introduce 4 more inner faces. These are the inner walls of the tunnel.

If another hole is drilled through all the way, then another 4 inner walls or faces emerge.

A third hole is drilled, but not all the way through. This introduces 4+1 = 5 faces.
The 4 are the walls of this hole, and the +1 at the end refers to the floor so to speak. Imagine that this hole is a crater that you can stand in.

Total = 6 + 4+4+4 + 1 = 19 faces

Answer: 19

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

I can think that this parallelepiped represents a three-store building 
with the horizontal corridors at the second floor, going 
South-North and West-East directions and intersecting at the central hall.


Also, there is an elevator from the first floor (a garage) to the central 
hall at the second floor.


Then the South-North corridor contributes 2*4 = 8 faces;

     the West-East   corridor contributes 2*4 = 8 faces;

     the elevator             contributes       4 faces;

     and the building itself  contributes       6 faces.


The total faces is then     6 + 8 + 8 + 4    = 26.    ANSWER

Solved.

-------------------

So, the answer depends on a description of the problem.

An adequate description  ABSENTS  in your post,  leaving a room
for different assumptions/interpretations/solutios/answers.



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