Question

question 1 of 10

which polyhedron has more faces than an octahedron but fewer faces than an icosahedron?

a. dodecahedron
b. hexahedron
c. tetrahedron
d. cube

Explanation:

Identify the face counts of the given reference polyhedra

An octahedron has 8 faces, and an icosahedron has 20 faces. We need to find a polyhedron with a face count \(F\) such that:

$$8 < F < 20$$

Determine the face counts of the options

• A. Dodecahedron: 12 faces
• B. Hexahedron: 6 faces
• C. Tetrahedron: 4 faces
• D. Cube: 6 faces

Select the option that satisfies the inequality

The dodecahedron has 12 faces, which satisfies \(8 < 12 < 20\).

Answer:

• A. Dodecahedron (Correct answer)
• B. Hexahedron
• C. Tetrahedron
• D. Cube