I am a polyhedron. My lateral edges are equal in length. I have 8 faces. I have 2 faces with 6 sides. What am I?
Sounds like a right hexagonal prism
6 rectangular lateral faces
2 hexagonal bases
To determine the identity of the polyhedron described, let's break down the given information.
First, you mentioned that the lateral edges are equal in length. This suggests that the polyhedron has regular sides.
Next, you mentioned that it has 8 faces. This narrows down our options, as we need to find a polyhedron with 8 faces.
Lastly, you specified that there are 2 faces with 6 sides. Based on this information, we can conclude that the polyhedron is not entirely made up of square faces.
Taking all this into account, the polyhedron that fits the given criteria is a cube.
A cube has 6 square faces and 8 total faces. The lateral edges of a cube are all equal in length, making it a regular polyhedron.
So, to sum up, you are a cube!