# Shapes

Have you noticed the shape of a pizza? It is round in shape.

If we cut out a slice from the pizza, the slice gets a triangular shape.

In this lesson, you will learn all about shapes, types of shapes, and geometric shapes. Check out the interactive simulations to know more about the lesson and try your hand at solving a few interesting practice questions at the end of the page. So, what are you waiting for?

Let's begin!

## Lesson Plan

 1 What are Shapes? 2 Important Notes on Shapes 3 Solved Examples on Shapes 4 Interactive Questions on Shapes 5 Challenging Questions on Shapes

## What are Shapes?

A shape can be defined as the boundary or outline of an object. It is the surface we see and does not depend on the size or the color of the object.

Everything around us has a different shape, such as the square, rectangle, or three-dimensional sphere. Have you seen the model of the Earth called the globe? What is the shape of this globe?

It looks like a sphere.

Now, look at this pencil box.

It looks like a cuboid.

### Types of Shapes

Shapes define the boundary of an object and can be differentiated in many ways based on their properties.

Shapes can be of various types:

Closed Shapes

Closed shapes can be traced without any break. They start and end in the same place.

Let's look at these examples:

Open Shapes

Open shapes are not continuous and are made up of line segments or curves which do not meet.

Two-dimensional $$(2\text{D})$$ or three-dimensional $$(3\text{D})$$ shapes

A shape can be two-dimensional ($$2\text{D}$$) or three-dimensional ($$3\text{D}$$).

A square is a $$2\text{D}$$ shape, whereas, a cube is a $$3\text{D}$$ shape.

$$3\text{D}$$ shapes have a length, a width, and a height. You can learn more about it here.

$$2\text{D}$$ shapes, as the name suggests, have only two of these measurements.

The common $$2\text{D}$$ and $$3\text{D}$$ shapes are listed here in Table - 1 and Table - 2.

## List of Geometric Shapes

We know that shapes are made of straight lines or curved lines and they can be open or closed.

Lines are defined as a collection of points. In other words, many points put together to form a line.

They may form a straight line or a curved line.

Geometric shapes are closed shapes which are created by joining lines together.

Look at this shape below; this is made of four straight lines.

Can you think of another quadrilateral shape?

Next, look at this shape:

It has no straight line, corner, or side to it. It is a closed shape made of curved lines.

This shape is called an ellipse.

## What are Two-Dimensional Shapes?

Observe this sheet of paper.

It consists of a length and a width.

A two-dimensional shape does not have any depth.

The common $$2\text{D}$$ shapes we see are listed below:

Table - 1

 $$2\text{D}$$ Shapes Name Number of sides Image Triangle $$3$$ Square $$4$$ Rhombus $$4$$ Kite $$4$$ Rectangle $$4$$ Trapezium $$4$$ Pentagon $$5$$ Hexagon $$6$$ Heptagon $$7$$ Octagon $$8$$ Decagon $$10$$ Dodecagon $$12$$ Hexadecagon $$16$$ Circle $$0$$

Can you draw a few more $$2\text{D}$$ shapes?

## What are Three-Dimensional Shapes?

Have you seen a dice?

This is a three-dimensional shape. It consists of a length, a breadth, and a height.

Three-dimensional shapes have some thickness or depth.

This shape is called a cube. There are several other $$3\text{D}$$ shapes.

A few are listed here in the table:

Table - 2

 $$3\text{D}$$ Shapes Name Images Cuboid Cone Pyramid Cylinder

Look around you and identify more $$3\text{D}$$ shapes.

Important Notes
2. Polygons are closed geometric shapes made of straight lines. They are named after the number of sides they have.

## Solved Examples

 Example 1

Does the given figure have a two-dimensional or a three-dimensional shape? How many sides does it have?

Solution

The football looks like a sphere and has $$0$$ sides.

 The figure has a three-dimensional shape
 Example 2

John ordered an ice-cream at an ice-cream parlor.

What $$3\text{D}$$ shape does the ice-cream resemble?

Solution

The ice-cream resembles a cone.

 It looks like a cone
 Example 3

How many sides are there in the given shape? Is it a closed or an open shape?

Solution

Count the number of straight lines in the star. There are $$10$$ straight lines.

We can trace the outline of this star without any break. Hence, it is a closed shape.

 It is a closed shape with $$10$$ sides
 Example 4

He bought building blocks for him.

He wants to pack his gift in a box.

Can you help him find the right box to place the gift?

Solution

The given gift boxes are in the shape of a cylinder, sphere and cube.

The building blocks are in the form of a cube.

Therefore, the box shaped like a cube is the right shape to pack the building blocks.

 Thus, Cube is the right shape.

## Interactive Questions

Here are a few activities for you. Select/Type your answer and click the "Check answer" button to see the results.

Challenging Questions
1.  Is the given shape a Quadrilateral?
2.  What is the name of the closed shape which has 100 sides?

## Let's Summarize

We hope you enjoyed learning about Shapes with the simulations and practice questions. Now you will be able to easily solve problems on shapes names, all shapes, types of shapes, and geometric shapes.

At Cuemath, our team of math experts are dedicated to make learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic.

Be it problems, online classes, videos, or any other form of relation, it’s the logical thinking and smart learning approach that we at Cuemath believe in.

## 1. What do you call a 9 sided shape?

A 9-sided shape is called a Nonagon.

## 2. How do you identify shapes?

A great way to identify shapes is by knowing the number of sides and points in it.

For Example: A triangle has 3 sides and 3 points. So, we can easily identify it as a triangle.

## 3. What do you call a 10 sided shape?

A 10-sided shape is called a Decagon.

More Important Topics
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