Last updated on August 5th, 2025
The perimeter of a shape is the total length of its boundary. In the context of a rectangular prism, perimeter often refers to the perimeter of one of its faces, usually a rectangular face. In this topic, we will learn about the perimeter of a rectangular prism's face.
The perimeter of a rectangular prism typically refers to the perimeter of one of its rectangular faces. By adding the lengths of all four sides of the face, we get the perimeter of that face. The formula for the perimeter of a rectangular face is π· = 2π + 2π€, where π is the length and π€ is the width of the rectangle. For instance, if a rectangular face has dimensions, π = 6 and π€ = 4, then its perimeter is π· = 2(6) + 2(4) = 20.
Letβs consider another example of a rectangular face with dimensions, π = 8 and π€ = 5. So the perimeter of the rectangular face will be: π· = 2π + 2π€ = 2(8) + 2(5) = 26.
To find the perimeter of a rectangular face of a prism, we just need to apply the given formula and sum the double of the length and the width of the rectangle. For instance, a given rectangular face has dimensions of π = 7 and π€ = 3. Perimeter = 2π + 2π€ = 2(7) + 2(3) = 14 + 6 = 20 cm. Example Problem on Perimeter of Rectangular Face - For finding the perimeter of a rectangular face, we use the formula, π· = 2π + 2π€. For example, letβs say, π = 9 cm and π€ = 4 cm. Now, the perimeter = 2π + 2π€ = 2(9) + 2(4) = 18 + 8 = 26 cm. Therefore, the perimeter of the rectangular face is 26 cm.
Learning some tips and tricks makes it easier for children to calculate the perimeter of rectangular faces. Here are some tips and tricks given below: Always remember that a rectangle's perimeter is simply the sum of twice the length and twice the width. For that, use the formula, π· = 2π + 2π€. Calculating the perimeter of a rectangular face starts by determining the length and width of the face. These can be found by measuring or being given in a problem statement. To reduce confusion, specifically arrange the indicated dimensions if you need the perimeter of multiple rectangular faces. After that, apply the formula to each face. To avoid mistakes when adding the perimeter, make sure the dimensions are precise and constant for practical uses like construction and design. If you are given the semi-perimeter, which is half the perimeter, you can multiply it by 2 to determine the full perimeter. This is often useful in area-related calculations.
Did you know that while working with the perimeter of a rectangular prism's face, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
A rectangular gift box has a face with dimensions 12 inches by 8 inches. Find the perimeter of this face.
40 inches
Let π be the length and π€ be the width. The given dimensions are π = 12 inches and π€ = 8 inches. Perimeter of the rectangular face = 2π + 2π€ = 2(12) + 2(8) = 24 + 16 = 40 inches Therefore, the perimeter of the face is 40 inches.
A picture frame has a rectangular border with a perimeter of 60 inches. If the length is 20 inches, find the width of the border.
10 inches
Given the perimeter π· = 60 inches and length π = 20 inches, we need to find the width π€. Perimeter of rectangle = 2π + 2π€ 60 = 2(20) + 2π€ 60 = 40 + 2π€ 20 = 2π€ π€ = 10 Therefore, the width of the border is 10 inches.
Find the perimeter of a rectangular tabletop with dimensions 6 cm by 4 cm.
20 cm
Perimeter of rectangle = 2π + 2π€ π· = 2(6) + 2(4) = 12 + 8 = 20 cm Therefore, the perimeter of the tabletop is 20 cm.
A rectangular garden is 15 meters long and 10 meters wide. How much fencing is needed to enclose the garden?
50 meters of fencing is needed to enclose the garden.
The perimeter of a rectangular garden is the sum of twice the length and twice the width. Using the formula: π· = 2π + 2π€ π· = 2(15) + 2(10) = 30 + 20 = 50 meters.
Find the perimeter of a rectangular billboard with a length of 18 meters and a width of 7 meters.
50 meters
The perimeter of the rectangular billboard is calculated by adding twice the length and twice the width. π· = 2(18) + 2(7) = 36 + 14 = 50 meters.
Perimeter: The total length of the sides of a shape. Rectangular Prism: A three-dimensional shape with six rectangular faces. Rectangle: A flat shape with four straight sides where opposite sides are parallel and equal in length. Formula for perimeter: The mathematical expression used to calculate the perimeter of a rectangle is π· = 2π + 2π€. Face: A flat surface that forms part of the boundary of a solid object.
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
: She has songs for each table which helps her to remember the tables