3D Shapes (รูปทรง 3 มิติ)

3D Shapes (รปู ทรง 3 มติ ิ) A 3D shape is described by its edges (ขอบ) , faces (หน้า) , and vertices (จดุ ยอด) (vertex is the singular form of vertices).

A face is a 2D shape that makes up one surface of a 3D shape, an edge is where two faces meet and a vertex is the point or corner of a geometric shape. To work out the area of a face of a 3D shape, you use square units such as cm2 as the face of a 3D shape is a 2D shape in its own right (a pyramid’s face will form a triangle, or its base a square). You can learn how to work out area of a shape here. To work out the volume of the whole 3D shape you used cubic units such as cm3. To learn how to work out the volume of 3D shapes click here.

Properties of 3D Shapes – Prisms Cube Number of Edges: 12 Number of Faces: 6 Number of Vertices: 8

Cuboid Number of Edges: 12 Number of Faces: 6 Number of Vertices: 8

Cylinder Number of Edges: 2 Number of Faces: 3 Number of Vertices: 0

Triangular Prism Number of Edges: 9 Number of Faces: 5 Number of Vertices: 6

Octagonal Prism Number of Edges: 24 Number of Faces: 10 Number of Vertices: 16

Properties of 3D Shapes – Pyramids Tetrahedron Number of Edges: 6 Number of Faces: 4 Number of Vertices: 4

Square based Pyramid Number of Edges: 8 Number of Faces: 5 Number of Vertices: 5

Hexagonal based Pyramid Number of Edges: 12 Number of Faces: 7 Number of Vertices: 7

Properties of 3D Shapes – Curved Faces Cone Number of Edges: 1 Number of Faces: 2 Number of Vertices: 1

Frustum Number of Edges: 2 Number of Faces: 3 Number of Vertices: 0

Sphere Number of Edges: 0 Number of Faces: 1 Number of Vertices: 0

Here is a chart with the numbers of faces, edges and vertices of some common 3-D solids. Please note that your child may not learn all of these solids at one time. 3-D Solid FACES EDGES VERTICES (หนา้ ) (ขอบ) (จุดยอด) CUBE RECTANGULAR 6 12 8 PRISM 6 12 8 CYLINDER CONE 2 0 0 SQUARE PYRAMID 1 0 0 TRIANGULAR PRISM 5 8 5 SPHERE 5 9 6 TRIANGULAR 0 0 0 PYRAMID 4 6 4 (TETRAHEDRON) HEXAGONAL PRISM 8 18 12 CR :: https://revisionmaths.com/gcse-maths/geometry-and-measures/3d-shapes