I am a 3 dimensional shape whose 8 faces are equilateral triangles. What am I?
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron.
Based on the information provided, the shape you are describing is called a regular octahedron.
To determine the shape, let's break down the characteristics mentioned:
1. "3-dimensional shape" - This means the shape exists in three dimensions, typically referring to height, width, and depth.
2. "8 faces" - The shape has eight flat surfaces.
3. "Equilateral triangles" - Each face of the shape is an equilateral triangle, meaning all three sides of the triangles are equal in length.
Putting these characteristics together, we can conclude that the shape is a regular octahedron.
If you were unsure about this, you could also verify the answer by searching for "3D shape with 8 faces that are equilateral triangles." This would provide you with references and images confirming the shape you are describing.