Formula for Calculating the Area of Four Walls of a Cuboid

Oct 13, 2025 by talynt.org 107 views

Introduction

In geometry, a cuboid is a three-dimensional solid object with six rectangular faces. The area of the four walls of a cuboid can be calculated using the formula: Area = 2(lb + bh + hl), where l is the length, b is the breadth, and h is the height of the cuboid. In this article, we will find the area of four walls of the cuboids with the following dimensions:

(i) l = 2 m, b = 1.5 m, h = 3 m
(ii) l = 15 m, b = 10 m, h = 8 m
(iii) l = 2.5 m, b = 2 m, h = 4 m

Calculating the Area of Four Walls of the Cuboid (i)

To find the area of four walls of the cuboid (i), we will use the formula: Area = 2(lb + bh + hl). Substituting the values of l, b, and h, we get:

Area = 2(2 × 1.5 + 1.5 × 3 + 3 × 2) = 2(3 + 4.5 + 6) = 2 × 13.5 = 27 m²

Calculating the Area of Four Walls of the Cuboid (ii)

To find the area of four walls of the cuboid (ii), we will use the formula: Area = 2(lb + bh + hl). Substituting the values of l, b, and h, we get:

Area = 2(15 × 10 + 10 × 8 + 8 × 15) = 2(150 + 80 + 120) = 2 × 350 = 700 m²

Calculating the Area of Four Walls of the Cuboid (iii)

To find the area of four walls of the cuboid (iii), we will use the formula: Area = 2(lb + bh + hl). Substituting the values of l, b, and h, we get:

Area = 2(2.5 × 2 + 2 × 4 + 4 × 2.5) = 2(5 + 8 + 10) = 2 × 23 = 46 m²

Conclusion

In this article, we have calculated the area of four walls of the cuboids with the following dimensions:

(i) l = 2 m, b = 1.5 m, h = 3 m
(ii) l = 15 m, b = 10 m, h = 8 m
(iii) l = 2.5 m, b = 2 m, h = 4 m

The area of four walls of the cuboid (i) is 27 m², the area of four walls of the cuboid (ii) is 700 m², and the area of four walls of the cuboid (iii) is 46 m².

Formula for Calculating the Area of Four Walls of a Cuboid

The formula for calculating the area of four walls of a cuboid is: Area = 2(lb + bh + hl), where l is the length, b is the breadth, and h is the height of the cuboid.

Step-by-Step Procedure for Calculating the Area of Four Walls of a Cuboid

To calculate the area of four walls of a cuboid, follow these steps:

Identify the dimensions of the cuboid, i.e., length (l), breadth (b), and height (h).
Use the formula: Area = 2(lb + bh + hl).
Substitute the values of l, b, and h into the formula.
Simplify the expression to find the area of four walls of the cuboid.

Importance of Calculating the Area of Four Walls of a Cuboid

Calculating the area of four walls of a cuboid is important in various fields, such as:

Architecture: To determine the surface area of a building or a structure.
Engineering: To calculate the surface area of a machine or a device.
Science: To determine the surface area of a solid object.

Real-World Applications of Calculating the Area of Four Walls of a Cuboid

Calculating the area of four walls of a cuboid has various real-world applications, such as:

Building design: To determine the surface area of a building or a structure.
Packaging design: To calculate the surface area of a package or a container.
Material science: To determine the surface area of a solid object.

Conclusion

In conclusion, calculating the area of four walls of a cuboid is an important concept in geometry and has various real-world applications. The formula for calculating the area of four walls of a cuboid is: Area = 2(lb + bh + hl), where l is the length, b is the breadth, and h is the height of the cuboid. By following the step-by-step procedure, one can calculate the area of four walls of a cuboid.

Introduction

In our previous article, we discussed how to calculate the area of four walls of a cuboid using the formula: Area = 2(lb + bh + hl). In this article, we will answer some frequently asked questions related to calculating the area of four walls of a cuboid.

Q: What is the formula for calculating the area of four walls of a cuboid?

A: The formula for calculating the area of four walls of a cuboid is: Area = 2(lb + bh + hl), where l is the length, b is the breadth, and h is the height of the cuboid.

Q: How do I calculate the area of four walls of a cuboid?

A: To calculate the area of four walls of a cuboid, follow these steps:

Identify the dimensions of the cuboid, i.e., length (l), breadth (b), and height (h).
Use the formula: Area = 2(lb + bh + hl).
Substitute the values of l, b, and h into the formula.
Simplify the expression to find the area of four walls of the cuboid.

Q: What are the real-world applications of calculating the area of four walls of a cuboid?

A: Calculating the area of four walls of a cuboid has various real-world applications, such as:

Building design: To determine the surface area of a building or a structure.
Packaging design: To calculate the surface area of a package or a container.
Material science: To determine the surface area of a solid object.

Q: How do I determine the surface area of a building or a structure?

A: To determine the surface area of a building or a structure, you can use the formula: Area = 2(lb + bh + hl). You will need to know the dimensions of the building or structure, i.e., length (l), breadth (b), and height (h).

Q: What is the importance of calculating the area of four walls of a cuboid?

A: Calculating the area of four walls of a cuboid is important in various fields, such as:

Architecture: To determine the surface area of a building or a structure.
Engineering: To calculate the surface area of a machine or a device.
Science: To determine the surface area of a solid object.

Q: Can I use the formula for calculating the area of four walls of a cuboid for other shapes?

A: No, the formula for calculating the area of four walls of a cuboid is specific to cuboids. You will need to use different formulas for other shapes, such as spheres, cylinders, and cones.

Q: How do I calculate the surface area of a sphere?

A: To calculate the surface area of a sphere, you can use the formula: Area = 4πr², where r is the radius of the sphere.

Q: How do I calculate the surface area of a cylinder?

A: To calculate the surface area of a cylinder, you can use the formula: Area = 2πrh + 2πr², where r is the radius and h is the height of the cylinder.

Q: How do I calculate the surface area of a cone?

A: To calculate the surface area of a cone, you can use the formula: Area = πr² + πrl, where r is the radius and l is the slant height of the cone.

Conclusion

In conclusion, calculating the area of four walls of a cuboid is an important concept in geometry and has various real-world applications. We hope that this Q&A article has helped to clarify any questions you may have had about calculating the area of four walls of a cuboid. If you have any further questions, please don't hesitate to ask.

Formula for Calculating the Area of Four Walls of a Cuboid

The formula for calculating the area of four walls of a cuboid is: Area = 2(lb + bh + hl), where l is the length, b is the breadth, and h is the height of the cuboid.

Formula for Calculating the Surface Area of a Sphere

The formula for calculating the surface area of a sphere is: Area = 4πr², where r is the radius of the sphere.

Formula for Calculating the Surface Area of a Cylinder

The formula for calculating the surface area of a cylinder is: Area = 2πrh + 2πr², where r is the radius and h is the height of the cylinder.

Formula for Calculating the Surface Area of a Cone

The formula for calculating the surface area of a cone is: Area = πr² + πrl, where r is the radius and l is the slant height of the cone.