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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

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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:

  1. Tetrahedron: A solid with 4 triangular faces.
  2. Icosahedron: A solid with 20 triangular faces.
  3. Dodecahedron: A solid with 12 pentagonal faces.
  4. Hexahedron: A solid with 6 square faces (this is the definition of a cube, as all faces are equal squares).
  5. 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

This problem has been solved

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