Lesson 5, Topic 1
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# Three-Dimensional 3D Shapes

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Solid figures are three-dimensional 3D objects. What this means is solid shapes have width, depth, and height.

## Basic Properties of some Solid 3D Figures

### Faces, Edges, and Vertices of Solids:

(i) Face: A face is a flat surface. Faces can be square, rectangular or circular

(ii) Edge: The edge of a solid figure is the line segment where two faces meet.

(iii) Vertex: The corners where the edges meet are called vertices.

### Properties of Cuboid:

• A cuboid has 6 faces.
• A cuboid has 12 edges.
• A cuboid has 8 Vertices.
• It has rectangular faces.

Examples

Shoebox, cereal box, jewellery box

### Properties of a Cube:

• A cube has 6 faces.
• All the faces of a cube are square in shape
• A cube has 12 edges.
• All the 12 edges are equal in length because all faces are squares
• A cube has 8 Vertices.

Example: dice, maggi, Rubik’s cube

### Properties of a Cylinder:

• Circular cross-section.
• Two circular bases – one at its base and another at its top.
• It has two edges, at which the two plane (flat) surfaces meet with the curved surface. These edges are curved edges.
• A cylinder has 3 faces – The two plane surfaces and the curved surface.
• There are no vertices.

Example: coke can, glass cup, pipe.

### Properties of Cone

• It has a circular base
• A cone has 1 Vertex
• A cone has 2 faces.
• A cone has 1 Edge

Example: Birthday cap, ice-cream cone.

### 5) Sphere

Properties of Sphere:

• Each point on a sphere is at an equal distance from the centre.
• In a sphere, there are no faces, edges, or vertices.

Examples: soccer ball, tennis ball, earth.

### 5) Pyramid:

A pyramid is named according to the shape of its base.

Examples are:

1. Triangular-based pyramid (tetrahedron)
2. Rectangular-based pyramid
3. Square-based pyramid
4. Hexagonal-based pyramid.

### Properties of Triangular-based Pyramid (Tetrahedron)

• It has 4 faces.
• The 3 side faces are triangles. The base is also a triangle which adds up to 4 faces in total
• It has 4 vertices (corner points).
• It has 6 edges & also a tetrahedron.

### Properties of Square-based Pyramid:

• It has 5 faces.
• The 4 side faces are triangles. The base is a square, which adds up to 5 faces in total
• It has 5 vertices (corner points).
• It has 8 edges.

### Relationship between the numbers of Faces (F) Vertices (V) and Edges (E)

This chart gives you an idea of some of the faces, edges of vertices of common solid figures.

#### Responses

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