## What Are Three-Dimensional Shapes?

In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height. Unlike two-dimensional shapes, three-dimensional shapes have height, which is the same as thickness or depth. Three dimensional is also written as 3-D and hence, these figures are commonly called 3–D shapes too. All 3-D shapes occupy space, which is measured in terms of volume.

## Examples of Three-Dimensional Shapes

A cube, rectangular prism, sphere, cone, and cylinder are the basic 3-dimensional shapes we see around us.

## Real-life Examples of Three-Dimensional Shapes

3-D shapes can be seen all around us. We can see a cube in a Rubik’s Cube and a die, a rectangular prism in a book and a box, a sphere in a globe and a ball, a cone in a carrot and an ice cream cone, and a cylinder in a bucket and a barrel around us.

## Attributes of Three-Dimensional Shapes

There are three attributes of a three-dimensional figure: face, edge, and vertex. Let’s understand three dimensional shapes and their properties in detail.

Face: Each single surface, flat or curved, of the 3-D figure is called its face.

Edge: The line, where two faces of the 3-D figures meet, is called its edge.

Vertex: Each corner, where three faces of 3-D figures meet, is called its vertex. Vertices are the plural of the vertex.

## List of Three-Dimensional Shapes

Here’s a list of the names of three-dimensional shapes with their pictures, and attributes.

## Formula of Three-Dimensional Shapes

## Net of Three-Dimensional Shapes

A net is a pattern made when the surface of a 3-D figure is laid out flat, showing each face of the figure.

3-D figures can have more than one net pattern. Net of a few 3-D figures is shown below:

**Fun Facts**:

All three-dimensional shapes are made up of two-dimensional shapes.

## Difference between 2-D Shapes and 3-D Shapes

Let’s differentiate between 2-D and 3-D shapes by understanding two dimensional and three dimensional shapes and their properties.

## Solved Examples

**Example 1: Which of the following is a 3-D shape?**

Cone Square Sphere Cuboid Cylinder Parallelogram

**Solution:**

Cone Sphere Cuboid Cylinder

**Example 2: State whether the following are ***true ***or ***false***.**

- A three-dimensional shape has 3 dimensions.
- Three-dimensional shapes are also called flat shapes.
- Three-dimensional shapes occupy space.
- All three-dimensional shapes have flat faces.

**Solution:**

- True
- False. Three-dimensional shapes are also called solid shapes.
- True
- False. Sphere is a three-dimensional shape with no flat face.

**Example 3: Complete the table with attributes of the 3-D shapes listed.**

**Solution:**

**Example 4: Match the object with its shape.**

**Solution:**

- – (iii)
- – (i)
- – (iv)
- – (ii)

## Practice Problems

## Three Dimensional Shapes - Definition With Examples

### 1Which shape has 2 flat faces and one curved face?

Cylinder has two flat faces which are a circle in shape and one curved face.

### 2How many square shapes does the net of a cube have?

Cube has 6 faces that are squares. So, the net of the cube will have 6 square shapes.

### 3Which of the following has no edge?

Sphere has one face. So it has no edge.

### 4Which of the given shapes is NOT a 3-D shape?

Trapezoid is a 2-D shape with four sides with one pair of opposite sides parallel to each other and the other two sides of it are non-parallel.

## Frequently Asked Questions

**What are the different types of 3-D figures?**

Cube, cuboid, cylinder, sphere, cone, prism, and pyramids.

**What are the attributes of three-dimensional shapes?**

Three-dimensional shapes have 3 dimensions—length, width, and depth. As a result of these dimensions these shapes have attributes of faces, edges and vertices.

**What is an edge?**

An edge is a line where two faces of a three-dimensional shape meet.

For example, a cube has 12 edges.

**What are vertices?**

Vertices are corners where three faces meet. For example, a cuboid has 8 vertices.

**What is the use of volume of a three-dimensional shape?**

Volume helps to find the space occupied by the given shape.