Which polyhedron has more faces than an octahedron but fewer faces than an icosahedron?A.CubeB.HexahedronC.TetrahedronD.Dodecahedron
Question
Which polyhedron has more faces than an octahedron but fewer faces than an icosahedron?A.CubeB.HexahedronC.TetrahedronD.Dodecahedron
Solution
First, let's understand how many faces each of these polyhedrons have:
- Octahedron: 8 faces
- Icosahedron: 20 faces
- Cube: 6 faces
- Hexahedron: 6 faces (Note: A cube is a type of hexahedron)
- Tetrahedron: 4 faces
- Dodecahedron: 12 faces
We are looking for a polyhedron that has more faces than an octahedron (more than 8 faces) but fewer faces than an icosahedron (less than 20 faces).
From the list above, the only polyhedron that fits this criteria is the Dodecahedron (D). It has 12 faces, which is more than the 8 faces of an octahedron but less than the 20 faces of an icosahedron.
So, the answer is D. Dodecahedron.
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