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# Width|Definition & Meaning

## Definition

The **width** of a shape or **object** is its lateral or **side-to-side distance.** Since it **represents** length, it can be measured in any of the **units** of length, such as m, cm, **inches,** feet, etc. It can also **represent** the **spacing** between two **parallel** lines and other things.

One way to think about width is as the **horizontal measurement,** but it may also be thought of as the **distance calculated** from **side** to side. How does one **determine** how wide something is? It is **measured perpendicular** to the length of the object. The **distance** between two **adjacent** sides of an **object** is its width.

One way to **determine** the width of a **road,** for **instance,** is to **measure** the distance that **extends** through one side of a road towards the other.

In **geometry,** the term **“width”** most **frequently** refers to the **dimension** that measures the **length** of the **object’s** shorter side. For **instance,** in the **provided** rectangles, both represent the **same rectangle,** although one of them has been **rotated slightly** so **that** it can be seen that the width **refers** to the side of a **rectangle** that is the **shortest.**

## What Are Length, Width, and Height?

The **length, width,** and **height** of a **geometrical** shape are its **dimensions,** and they **represent** the length, width, and **height** of the form, **respectively.** The **length** of a **figure** is the side that is the **longest,** while the **width** is the side that is the **shortest** and the **height** is the **dimension** that is vertical. To **determine** the dimensions of an object, the tools that are needed are the object’s **length,** width, **and height.**

We **just** use length and **width** to describe **two-dimensional** shapes (also known as 2D **shapes),** but when we talk about **three-dimensional** shapes (also known as 3D shapes), we also talk about the **height** in addition to the length and **width.**

Let’s take a **moment** to define these **three** concepts.

**Length** is a measurement that **determines** the distance that exists between two places.

The **length** of an object or **figure** is represented by the length **dimension** of a figure, which is the longest **dimension** of a figure. **Linear** units such as meters, **centimeters,** and inches, **among** others, are used to **express** it.

**Width** is indeed the shorter **distance** between two **points** on an **object** or figure; it **indicates** how **broad** or **even** wide the provided figure is. Width is measured in centimeters.

There are **additional** linear **units** that are used to **express** width, such as **meters, centimeters, inches,** etc. The height of an object is its **depth,** or the **third** vertical **dimension** of the object, and it indicates how high or deep an object is. The **height** of an object can also be **referred** to as its **depth.**

Linear **measurements** such as meters, **centimeters,** and **inches** are used to indicate the **height** and **depth** of an object. Other linear units include millimeters.

**Note** that the words length, **width,** height, and depth are all **obtained** from the **words** long, wide, high, & deep, **respectively.** Length, **breadth,** height, and depth all refer to dimensions. **Because** of this, they **communicate** the **proportions** of an object. Take a **look** at the diagram that is **provided below** to get an idea of the **length, breadth,** & height of such a **cuboid.**

## Width vs. Length

The **length** and **breadth** of a figure **differ** in that **length represents** the **longer** side & width represents the shorter side. The **length indicates** exactly long the **figure** is, while the width **indicates** how broad or **wide** it really is. The **width** also is known as the **breadth.**

For **instance,** if indeed the two **sides** of a **rectangle** are 8 **cm and** 3 **cm,** we can readily **determine** that the **rectangle’s length** is 8 **cm** and its **width** is 3 cm.

The term **“width”** in mathematics **refers** to the **measurement** of the **separation between** two **parallel** lines as well as **surfaces.** It is a **basic** idea in many **disciplines, including mathematics,** calculus, **physical** science, **engineering,** and **biology,** to name a few.

In geometry, the term **“width” refers** to the **separation** of two **parallel sides** of a two-dimensional object, like a **circle, rectangle,** or **square.** The **width** of a **three-dimensional** form, such as a cube, **sphere,** or cone, is the **separation between** two **parallel** faces.

In **calculus,** breadth is crucial to the **understanding** of integrals. A **definite integral** is a kind of **integration** that calculates the volume of such a **three-dimensional space** or the area under a curve.

The **width** of a **region** can be thought of as a variable in **integrals,** and the **integral** is used to **determine** the **total area** or **volume** of the region by adding the **products** of the **region’s width** and height at **different** places.

**Additionally, width** is **important** in **optimization** issues, especially in **geometric optimization.** The **goal** in **these** issues is to **either** decrease or enhance the breadth of a **predetermined** shape. For instance, width is used in **architecture** and **engineering** to choose the most **effective** design for a building or structure that needs to support a specific load.

## Difference Between Length and Width

When **separating** length from **breadth,** there is presently some ambiguity.

The **issue** is that, based on where you **learned** it, the two have slightly **different descriptions.** When **learning** mathematics, most students are taught that the **longest** side of a rectangle **parallelogram** (which has **parallel** sides) will be the length, and the shortest side will be the width.

This **holds** true whether the **longer** side is on the **horizontal** or vertical axis. **However,** many people have **noticed** that the **width** is typically the **dimension** parallel to the **horizontal** plane, and the length is typically the vertical.

**Confusion** persists **because** an object’s length isn’t always its longest measurement in certain other respects.

For **instance,** some cables are **wider** than they are **when** sliced into **shorter** lengths. **Additionally,** the **channel** widths of **FET transistors** are larger in comparison to their **channel** lengths. **However,** to the **layperson,** length **merely** refers to how long **something** is, and width **refers** to how wide a given object is.

The **breadth** is another name for **width.** When the lengths of an object or **shape** form a right angle with the **sides,** like in the case of a **rectangle,** it is said to be across that object or shape. This is in contrast with the **measurement** of the area of the rectangle, which is a product of two units, the length and width, length and width are two basic one-dimensional units.

Today, a wide variety of length units are in use. The **meter** is the most **fundamental** unit of length **measurement** in the SI **system. ****Length** can also be measured in **inches,** feet, **yards,** and miles using Imperial or English units. There are a few more length units that are not SI.

## Numerical Examples of Width

### Example 1

If a **cuboid** is 8 units long, 4 units wide, and 3 units tall, calculate its **volume.**

### Solution

**Given** that:

**Length** = 8 units

**Width** = 4 units

**Height** = 3 units

We **have** to find the **volume** of the cuboid for the **given** data.

We know that:

**Volume** of **cuboid** = L x W x H

By putting **values,** we get:

Volume of cuboid = 8 x 4 x 3

By simplifying, we get the following:

The volume of the **cuboid** = 96 units cube.

### Example 2

If a **cuboid** is 8 units long, 5 **units** wide, and 3 units tall, calculate its volume.

### Solution

**Given** that:

**Length** = 8 units

**Width** = 5 units

**Height** = 3 units

We have to **find** the volume of the **cuboid** for the given data.

We know that:

**Volume** of cuboid = L x W x H

By putting values, we get:

**Volume** of **cuboid** = 8 x 5 x 3

By simplifying, we get the following:

The **volume** of **cuboid** = 120 units cube.

*All images were created with GeoGebra.*