Which of the following Platonic solids is also a cube?A.TetrahedronB.IcosahedronC.None of theseD.DodecahedronE.HexahedronF.Octahedron
Question
Which of the following Platonic solids is also a cube?
A. Tetrahedron
B. Icosahedron
C. None of these
D. Dodecahedron
E. Hexahedron
F. Octahedron
Solution
To determine which of the following Platonic solids is also a cube, we need to identify the characteristics of each option provided.
Breakdown of Options:
- Tetrahedron: A solid with 4 triangular faces.
- Icosahedron: A solid with 20 triangular faces.
- Dodecahedron: A solid with 12 pentagonal faces.
- Hexahedron: A solid with 6 square faces (this is the definition of a cube, as all faces are equal squares).
- Octahedron: A solid with 8 triangular faces.
Conclusion:
A cube is specifically defined as a type of Hexahedron because it has 6 square faces.
Final Answer:
E. Hexahedron
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