Which polyhedron has all square faces?

Which polyhedron has all square faces?

• A. Sphere
• B. Pyramid
• C. Octahedron
• D. Cube

Answer: (D)

All faces being squares describes a cube, a regular solid made up of six square faces. Each face is a square, all edges are the same length, and at every corner (vertex) three square faces meet at right angles. That combination—six square faces with consistent edges and right-angle junctions—defines the cube. A pyramid has a base and triangular side faces, so its faces aren’t all squares. An octahedron has triangular faces as well. A sphere isn’t made of flat faces at all, it’s a curved surface. So only the cube has every face as a square.

All faces being squares describes a cube, a regular solid made up of six square faces. Each face is a square, all edges are the same length, and at every corner (vertex) three square faces meet at right angles. That combination—six square faces with consistent edges and right-angle junctions—defines the cube.

A pyramid has a base and triangular side faces, so its faces aren’t all squares. An octahedron has triangular faces as well. A sphere isn’t made of flat faces at all, it’s a curved surface. So only the cube has every face as a square.