3D Shape Vertex Count Quiz: Cylinder, Cube, Triangular-based Pyramid

Question

3. How many vertices do the following 3-D shapes have? a) Cylinder ______ vertices b) Cube ______ vertices c) Triangular-based pyramid ______ vertices

Accepted Answer

a) 0; b) 8; c) 4

Answer

Step 1: Recall the definition of a vertex (a corner where two or more edges meet): Step 2: For a cylinder: A cylinder has no corners where edges meet, so it has 0 vertices. Step 3: For a cube: A cube has 8 corners, each formed by 3 edges meeting, so it has 8 vertices. Step 4: For a triangular-based pyramid: It has a triangular base with 3 vertices, plus 1 apex vertex where the triangular faces meet, so total 3 + 1 = 4 vertices.