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Home > News & Articles > Perimeter of Cuboid: Definitions, Examples, Properties, How to Calculate, Formula, Derivation, Difference, and Area vs Perimeter vs Volume
Updated on 24th July, 2023 , 4 min read
When you look around your home, you will see several things that have the shape of a rectangular box. Furniture, books, and televisions, for example, are all rectangular boxes. This is a cuboid form. Ice, dice, and the Rubik's cube, on the other hand, are examples of another 3D form known as a cube. In actuality, a cube is a form of cuboid in which all sides are square and identical.
A cuboid is a three-dimensional solid that has six rectangular sides. Consider a cuboid to be a three-dimensional rectangle. It has three uneven dimensions: length, breadth, and height. A rectangle, on the other hand, is a two-dimensional object with a simple length and width. A translucent cuboid might resemble this.
Example of Perimeter of Cuboid
Tall buildings, books, crates, mobile phones, televisions, microwaves, photo frames, beds, bricks, and other cuboids may be found in our daily lives, which are examples of cuboids.
Each face of a cuboid is a rectangle, and the corners, or vertices, are 90-degree angles. Furthermore, the opposing faces are always equal. A book, for example, is a cuboid. It features six surfaces, each with the same proportions as its opposite pair.
The following are some of the characteristics of the perimeter of cuboid-
The perimeter of a cuboid is the total length of all sides that cover the figure's border. It specifies the surface area of the cuboid's sides. We calculate the perimeter of a cuboid using the formula where all three cuboid parameters are independent. It is a geometrical figure's dimensional attribute. The perimeter of a cuboid is defined by its length, breadth, and height. Because the cuboid has 12 edges with varying values, the perimeter is given by-
Where,
l is the length
b is the breadth
h is the height
The length = 7 cm
The width = 2 cm
The height = 9 cm
Perimeter of cuboid = 4 (l x b x h)
= 4 (7 + 2 + 9)
= 4 x 18 cm
= 72 cm
The cuboid's perimeter may be measured along three axes. So we use the following steps to find the perimeter of cuboid-
Step 1: Obtain various cuboid dimensions such as length, width, and height. They are represented by the letters l, b, and h.
Step 2: Next, use the formula 4 (l+b+h) to get the needed perimeter of the supplied cuboid.
A cuboid's perimeter is equal to the sum of the lengths of all its edges. Consider a cuboid with dimensions of length = l, breadth = b, and height = h. There are 12 edges, four of which are equal to l, four to w, and four to h. So, the perimeter of cuboid is = 4 ( l + b + h).
A cuboid with a square base has the same length and width measurements. Height is simply a separate element. The bottom and upper faces of this sort of cube are square, thus the name. In real life, it appears to be a building. We apply the same formula to calculate the needed perimeter as we would for a regular cube.
The following are some of the differences between a cube and a cuboid-
The difference between the perimeter of cuboid, the area of cuboid, and the volume of cuboid are given below-
Parameters | Area | Perimeter | Volume |
Definition | It is the entire surface area covered by all six sides. | It is defined as the total of all twelve edges' lengths. | It is the space in which the cuboid lives. |
Formula | 4 (lb+bh+hl) | 4 (l+b+h) | lbh |
Dimension | It is a two-dimensional figure. | It has only one dimension. | It is a three-dimensional figure. |
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By - Nikita Parmar 2023-08-25 09:48:44 , 11 min readAns. The longest rod is the longest diagonal that can be accommodated in a cuboid.
Ans. A cuboid is also known as a rectangle prism, a right prism, and a rectangular parallelepiped.
Ans. No, only the diagonals that are opposing and parallel are equal.
Ans. The perimeter of a cube is equal to 12 sides, but the perimeter of a cuboid is equal to 4 (length + width + height). As a result, this is the fundamental difference between the perimeter of a cube and the cuboid formula.
Ans. A cuboid’s perimeter equals 4 (l + b + h).
Ans. A cube is a type of cuboid in which all of the cuboid faces are the same length.
Ans. Yes, since it is a form of a cuboid with equal-length faces.
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