# Lateral Area Formula

The lateral area formula is used to find the lateral area of any solid object. The lateral area of any figure is the area of the non-base faces only. Lateral area formulas help in calculating the lateral surface area of different figures including cuboid, cube, cylinder, cone, and sphere. Let us see more about the lateral area formulas along with a few solved examples.

## What Is the Lateral Area Formula?

The lateral area formula for different types of objects is different. Hence there are many lateral area formulas which are explained below. The lateral area does not include the base area of the object as well as the face parallel to the base. The lateral area formula for various objects are given in the tabular list below:

### List of Lateral Area Formula

We measure the lateral surface area for 3-dimensional shapes. Given below is a detailed tabular list for you to understand the lateral surface area formula.

Shape |
Lateral (curved) Surface Area |

Cube | 4(side)^{2} |

Cuboid | 2height (length+ breadth) |

Cone | πrl |

Cylinder | 2πrh |

Hemisphere | 2 π r^{2} |

Prism | base perimeter × height |

Pyramid | (1/2) base Perimeter × slant height |

## Examples on Lateral Area Formula

Let us take a look at a few examples to understand the lateral area formula concept

**Example 1:** The length, breadth, and height of a cuboid are 6 units, 2 units, and 16 units respectively. Calculate the lateral surface area of the cuboid.

**Solution:**

To find: Lateral formula of cuboid, length of the side of a cube

Given:

Length of cuboid = 6 units

Breadth of cuboid = 2 units

Height of cuboid = 16 units

Lateral area of cube = Lateral area of a cuboid

Using lateral area formula of cuboid,

Lateral area of cuboid = 2(length + breadth) × height

= 2( 6 + 2 ) × 16

= 256 units

**Answer: Lateral area of cuboid = 256 units**

**Example 2: **The radius of a sphere measures 4 units. This sphere is cut into two equal halves. Calculate the lateral surface areas of both objects by using the lateral area formula.

**Solution:**

To find: Lateral surface area of sphere and hemisphere

Given: Radius of the sphere and hemisphere = 4 units

Using lateral area formula,

Lateral area of sphere = 4πr^{2}

= 4 × π × (4)^{2}

= 201.142 square units

Lateral/ curved surface area of hemisphere = 2πr^{2}

= 2 × π × (4)^{2}

= 100.571 square units

**Answer: Lateral area of sphere = 201.142 square units, and Lateral/ curved surface area of hemisphere = 100.571 square units**

**Example 3: **Find the lateral area of the cube using the lateral area formula whose side is 7 units.

**Solution:**

To find: lateral area of a cube

Given that: side of a cube = 7 units

Using lateral area formula of cube = 4a^{2}

= 4 * 7 * 7 = 196.

**Answer:** The lateral area of a cube is 196 square units.

## FAQs on Lateral Area Formulas

### What Is the Lateral Area Formula of Cone?

The lateral area formula for cone is LSA = πrl. Where r is the radius of a cone, l is the slant height of the cone, and π (pi) is a constant term with a value of 3.14 or 22/7.

### What Is the Lateral Area Formula of Sphere?

The lateral surface area of sphere is expressed as LSA = 2πrh or 4πr^{2 }(If a diameter of sphere = 2r). Where r is the radius of a sphere, h is the height of the sphere, and π (pi) is a constant term with a value of 3.14 or 22/7.

### What Is the Lateral Area Formula of Cylinder?

The lateral surface area of cylinder is expressed as LSA = 2πrh. Where r is the radius of a circular base of the cylinder, h is the height of the cylinder, and π (pi) is a constant term with a value of 3.14 or 22/7.

### What Is the Lateral Area Formula of Cuboid?

The lateral surface area of cuboid is expressed as LSA = 2h (l+b). Where l, b, and h are the length, breadth, and height of a cuboid.

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