Question
Which is a diagonal through the interior of the cube?
pick one
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
pick one
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answers
GPT-4o mini
A diagonal through the interior of the cube connects two opposite vertices that do not share a face. In the cube you’ve described, the vertices on the top face are A, B, C, and D and on the bottom face are E, F, G, and H.
To check the options for diagonals through the interior of the cube:
- Side A H connects vertex A on the top face to vertex H on the bottom face.
- Side B E connects vertex B on the top face to vertex E on the bottom face.
- Side C H connects vertex C on the top face to vertex H on the bottom face.
- Side F G connects vertex F on the bottom face to vertex G on the bottom face (both are on the same face and therefore is not a diagonal through the interior).
The true diagonals through the interior are pairs like A and G, B and H, etc.
Since the options given don't explicitly list the diagonals, we can interpret "sides" as potential inner diagonals.
From the given options, **Side A H** is the best choice as it connects a vertex on the top face (A) to a vertex on the bottom face (H) through the interior of the cube.
To check the options for diagonals through the interior of the cube:
- Side A H connects vertex A on the top face to vertex H on the bottom face.
- Side B E connects vertex B on the top face to vertex E on the bottom face.
- Side C H connects vertex C on the top face to vertex H on the bottom face.
- Side F G connects vertex F on the bottom face to vertex G on the bottom face (both are on the same face and therefore is not a diagonal through the interior).
The true diagonals through the interior are pairs like A and G, B and H, etc.
Since the options given don't explicitly list the diagonals, we can interpret "sides" as potential inner diagonals.
From the given options, **Side A H** is the best choice as it connects a vertex on the top face (A) to a vertex on the bottom face (H) through the interior of the cube.