Lateral Area Formula (original) (raw)
Last Updated : 23 Jul, 2025
Lateral area of a three-dimensional object is the surface area of all its sides, excluding the bases (top and bottom surfaces). In this article, we will learn about, lateral area formulas along with related examples and others in detail.
What Is Lateral Area Formula?
Lateral area formula finds the lateral area for a figure. The Lateral area is an area of non-base faces of a figure i.e., It doesn't include the base area of the figure as well as the face parallel to the base. The Lateral area can also be called a lateral surface area. This formula is useful in calculating the Lateral area for different kinds of figures like cubes, cuboids, cones, cylinders, prisms, pyramids, spheres, hemispheres, etc.
Lateral Area Formulas
Lateral Area Formula Table
The below table consists of Lateral Area formulas for different kinds of figures.
| **Shape | **Figure | **Lateral Area Formula |
|---|---|---|
| Sphere | .png) Sphere |
4πr2 |
| Hemisphere | .png) Hemisphere |
2πr2 |
| Cube | .png) Cube |
4a2 |
| Cuboid | .png) Cuboid |
2h(l + b) |
| Cylinder | .png) Cylinder |
2πrh |
| Cone | .png) Cone |
πrl |
| Pyramid | .png) Pyramid |
(Perimeter of base × Slant height)/2 |
| Prism | .png) Prism |
The perimeter of base × height |
Examples on Lateral Area Formula
**Example 1: Find the Lateral area for the cube with each side of the length of 4cm.
**Solution:
Given,
Side length (a) = 4cm
Lateral Area of cube = 4a2
= 4(4)2
= 4 ×16
= 64cm2
**Lateral **surface area of a cube with given dimensions is 64cm 2 .
**Example 2: Find the lateral surface area of the sphere with a radius of 2 units.
**Solution:
Given,
Radius of sphere (r) = 2 units
Lateral Area of sphere = 4πr2
= 4 × (22/7) × (2)2
= (4 × 22 × 4)/7
= 352/7
= 50.28 square units
**Lateral **surface area of sphere with given radius is 50.28 square units.
**Example 3: Find the Lateral area for the cuboid with dimensions of length = 4cm, breadth = 2cm and height = 2cm.
**Solution:
Given,
length (l) = 4cm, breadth (b) = 2cm, height (h) = 2cm
Lateral Area of cuboid = 2h(l + b)
= 2(2)(4 + 2)
= 4 × 6
= 24cm2
**Lateral **surface area of a cuboid with given dimensions is 24cm 2 .
**Example 4: Find the lateral surface area of the cone with a base radius of 3 units and a slant height of 5 units.
**Solution:
Given,
Base radius of cone (r) = 3 units
Slant Height (l) = 5 units
Lateral Area of cone = πrl
= (22/7) × 3 × 5
= (22 × 3 × 5)/7
= 330/7
= 47.14 square units
**Lateral surface area of sphere with given radius is 47.14 square units.
**Example 5: Find the lateral surface area of the hemisphere with a radius of 2.5cm.
**Solution:
Given,
Radius of hemisphere (r) = 2.5cm
Lateral Area of sphere = 2πr2
= 2 × (22/7) × (2.5)2
= (44/7) × 6.25
= (44 × 6.25)/7
= 275/7
= 39.28 cm2
**Lateral **surface area of hemisphere with given radius is 39.28 cm 2 .
**Example 6: Find the lateral surface area of the prism which is having a perimeter of base = 10cm and a height = 3cm.
**Solution:
Given,
Perimeter of base = 10cm
Height = 3cm
Lateral Surface area = Perimeter of base × height
= 10 × 3
= 30 cm2
**Lateral **surface area of prism with given dimensions is 30 cm 2 .