Question

question 5 of 10

which of the following platonic solids is also a pyramid?

a. dodecahedron
b. tetrahedron
c. octahedron
d. hexahedron
e. icosahedron
f. none of these

Explanation:

Define a pyramid and Platonic solids

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. A Platonic solid is a regular, convex polyhedron with congruent regular polygonal faces and the same number of faces meeting at each vertex.

Analyze the given options

• A tetrahedron is a Platonic solid composed of four equilateral triangular faces.
• It has a triangular base and three triangular faces meeting at a common apex.
• Therefore, a tetrahedron is a triangular pyramid.
• None of the other Platonic solids (hexahedron/cube, octahedron, dodecahedron, icosahedron) have a single base with faces meeting at a single apex.

Answer:

• A. Dodecahedron
• B. Tetrahedron (Correct answer)
• C. Octahedron
• D. Hexahedron
• E. Icosahedron
• F. None of these