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2 <p>Last updated on<strong>September 8, 2025</strong></p>

3 <p>The perimeter of a shape is the total length of its boundary. When dealing with a right prism, the perimeter refers to the perimeter of its base, which is the sum of all the sides of the base shape. Perimeter is often used in various practical applications such as construction and design. In this topic, we will learn about the perimeter of a right prism.</p>

4 <h2>What is the Perimeter of a Right Prism?</h2>

5 <p>The perimeter<a>of</a>a right prism is the total length of the boundary of its<a>base</a>. By adding the lengths of all the sides of the base shape, we obtain the perimeter of the prism's base.</p>

6 <p>For instance, if the base of a right prism is a triangle with sides a = 6, b = 8, and c = 10, then the perimeter of the base is P = 6 + 8 + 10 = 24.</p>

7 <h2>Formula for Perimeter of Right Prism Base</h2>

8 <p>Let’s consider another example of a right prism with a rectangular base having side lengths a = 8, b = 10.</p>

9 <p>The perimeter of the rectangle, which is the base of the prism, will be: P = 2a + 2b = 2(8) + 2(10) = 16 + 20 = 36.</p>

10 <h2>How to Calculate the Perimeter of Right Prism Base</h2>

11 <p>To find the perimeter of a right prism's base, apply the relevant<a>formula</a>for the perimeter of the base shape.</p>

12 <p>For instance, if a given right prism has a rectangular base with sides a = 6 and b = 9, the perimeter of the base is P = 2a + 2b = 2(6) + 2(9) = 12 + 18 = 30 cm.</p>

13 <p>Example Problem on Perimeter of Right Prism Base -</p>

14 <p>To find the perimeter of the base of a right prism with a triangular base, we use the formula P = a + b + c.</p>

15 <p>For example, if the base is a triangle with sides a = 5 cm, b = 4 cm, and c = 2 cm, then the perimeter =<a>sum</a>of all sides = 5 + 4 + 2 = 11 cm.</p>

16 <p>Therefore, the perimeter of the base is 11 cm.</p>

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19 <h2>Tips and Tricks for Perimeter of Right Prism</h2>

18 <h2>Tips and Tricks for Perimeter of Right Prism</h2>

20 <p>Learning some tips and tricks can make it easier to calculate the perimeter of a right prism's base. Here are some tips and tricks:</p>

19 <p>Learning some tips and tricks can make it easier to calculate the perimeter of a right prism's base. Here are some tips and tricks:</p>

21 <ul><li>Always remember that the perimeter of the base of a prism is simply the sum of the lengths of all its sides.</li>

20 <ul><li>Always remember that the perimeter of the base of a prism is simply the sum of the lengths of all its sides.</li>

22 </ul><ul><li>Use the appropriate formula based on the shape of the base. For a rectangular base, use P = 2a + 2b.</li>

21 </ul><ul><li>Use the appropriate formula based on the shape of the base. For a rectangular base, use P = 2a + 2b.</li>

23 </ul><ul><li>For other shapes, use the relevant perimeter formula. When dealing with a right prism, ensure that you have correctly identified the shape and dimensions of the base before calculating the perimeter.</li>

22 </ul><ul><li>For other shapes, use the relevant perimeter formula. When dealing with a right prism, ensure that you have correctly identified the shape and dimensions of the base before calculating the perimeter.</li>

24 </ul><ul><li>For complex shapes, break down the base into simpler parts, calculate each part's perimeter, and sum them up. If given the semi-perimeter of the base, multiply it by 2 to find the full perimeter.</li>

23 </ul><ul><li>For complex shapes, break down the base into simpler parts, calculate each part's perimeter, and sum them up. If given the semi-perimeter of the base, multiply it by 2 to find the full perimeter.</li>

25 </ul><h2>Common Mistakes and How to Avoid Them in Perimeter of Right Prism</h2>

24 </ul><h2>Common Mistakes and How to Avoid Them in Perimeter of Right Prism</h2>

26 <p>While working with the perimeter of a right prism, some errors or difficulties may arise. Here are solutions to some common problems:</p>

25 <p>While working with the perimeter of a right prism, some errors or difficulties may arise. Here are solutions to some common problems:</p>

27 <h3>Problem 1</h3>

26 <h3>Problem 1</h3>

28 <p>A right prism has a rectangular base with a perimeter of 48 inches and two sides measuring 17 inches each. Find the length of the other side of the base.</p>

27 <p>A right prism has a rectangular base with a perimeter of 48 inches and two sides measuring 17 inches each. Find the length of the other side of the base.</p>

29 <p>Okay, lets begin</p>

28 <p>Okay, lets begin</p>

30 <p>Length of the missing side = 7 inches.</p>

29 <p>Length of the missing side = 7 inches.</p>

31 <h3>Explanation</h3>

30 <h3>Explanation</h3>

32 <p>Let ‘b’ be the missing side of the rectangle. Given perimeter = 48 inches. Length of the two equal sides = 17 inches.</p>

31 <p>Let ‘b’ be the missing side of the rectangle. Given perimeter = 48 inches. Length of the two equal sides = 17 inches.</p>

33 <p>Perimeter of rectangle = 2a + 2b. 48 = 2(17) + 2b 48 = 34 + 2b 2b = 48 - 34 = 14 b = 7</p>

32 <p>Perimeter of rectangle = 2a + 2b. 48 = 2(17) + 2b 48 = 34 + 2b 2b = 48 - 34 = 14 b = 7</p>

34 <p>Therefore, the missing side is 7 inches.</p>

33 <p>Therefore, the missing side is 7 inches.</p>

35 <p>Well explained 👍</p>

34 <p>Well explained 👍</p>

36 <h3>Problem 2</h3>

35 <h3>Problem 2</h3>

37 <p>A metal sheet with a perimeter of 297 inches is reshaped into a right prism with an equilateral triangular base. Find the length of each side of the base.</p>

36 <p>A metal sheet with a perimeter of 297 inches is reshaped into a right prism with an equilateral triangular base. Find the length of each side of the base.</p>

38 <p>Okay, lets begin</p>

37 <p>Okay, lets begin</p>

39 <p>99 inches</p>

38 <p>99 inches</p>

40 <h3>Explanation</h3>

39 <h3>Explanation</h3>

41 <p>Given that the perimeter of the metal sheet is equal to the total length around the triangular base:</p>

40 <p>Given that the perimeter of the metal sheet is equal to the total length around the triangular base:</p>

42 <p>Perimeter of equilateral triangle = 3 × a</p>

41 <p>Perimeter of equilateral triangle = 3 × a</p>

43 <p>297 = 3 × a</p>

42 <p>297 = 3 × a</p>

44 <p>297 ÷ 3 = 99</p>

43 <p>297 ÷ 3 = 99</p>

45 <p>a = 99</p>

44 <p>a = 99</p>

46 <p>Therefore, the length of each side of the triangular base is 99 inches.</p>

45 <p>Therefore, the length of each side of the triangular base is 99 inches.</p>

47 <p>Well explained 👍</p>

46 <p>Well explained 👍</p>

48 <h3>Problem 3</h3>

47 <h3>Problem 3</h3>

49 <p>Find the perimeter of an equilateral triangular base of a right prism where each side is 10 cm.</p>

48 <p>Find the perimeter of an equilateral triangular base of a right prism where each side is 10 cm.</p>

50 <p>Okay, lets begin</p>

49 <p>Okay, lets begin</p>

51 <p>30 cm</p>

50 <p>30 cm</p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p>Perimeter of triangle = a + b + c</p>

52 <p>Perimeter of triangle = a + b + c</p>

54 <p>P = 10 + 10 + 10 = 30</p>

53 <p>P = 10 + 10 + 10 = 30</p>

55 <p>Therefore, the perimeter of the triangular base is 30 cm.</p>

54 <p>Therefore, the perimeter of the triangular base is 30 cm.</p>

56 <p>Well explained 👍</p>

55 <p>Well explained 👍</p>

57 <h3>Problem 4</h3>

56 <h3>Problem 4</h3>

58 <p>Annie is planning a rectangular garden on the base of a right prism in her backyard. She measures the two sides of the garden: Side A = 12 meters Side B = 9 meters How much fencing should Annie buy to go around the edge of the garden?</p>

57 <p>Annie is planning a rectangular garden on the base of a right prism in her backyard. She measures the two sides of the garden: Side A = 12 meters Side B = 9 meters How much fencing should Annie buy to go around the edge of the garden?</p>

59 <p>Okay, lets begin</p>

58 <p>Okay, lets begin</p>

60 <p>Annie will need 42 meters of fencing to go around the garden.</p>

59 <p>Annie will need 42 meters of fencing to go around the garden.</p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

62 <p>The perimeter of a rectangle is calculated by the formula: P = 2a + 2b P = 2(12) + 2(9) = 24 + 18 = 42 meters.</p>

61 <p>The perimeter of a rectangle is calculated by the formula: P = 2a + 2b P = 2(12) + 2(9) = 24 + 18 = 42 meters.</p>

63 <p>Well explained 👍</p>

62 <p>Well explained 👍</p>

64 <h3>Problem 5</h3>

63 <h3>Problem 5</h3>

65 <p>Find the perimeter of the base of a right prism where the triangular base has sides a = 10, b = 8, c = 7.</p>

64 <p>Find the perimeter of the base of a right prism where the triangular base has sides a = 10, b = 8, c = 7.</p>

66 <p>Okay, lets begin</p>

65 <p>Okay, lets begin</p>

67 <p>Perimeter = a + b + c = 10 + 8 + 7 = 25 meters.</p>

66 <p>Perimeter = a + b + c = 10 + 8 + 7 = 25 meters.</p>

68 <h3>Explanation</h3>

67 <h3>Explanation</h3>

69 <p>Each side of the triangular base of the right prism has a different length. The total perimeter is calculated by summing the lengths of the three sides, resulting in 25 meters.</p>

68 <p>Each side of the triangular base of the right prism has a different length. The total perimeter is calculated by summing the lengths of the three sides, resulting in 25 meters.</p>

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h2>FAQs on Perimeter of Right Prism</h2>

70 <h2>FAQs on Perimeter of Right Prism</h2>

72 <h3>1.Evaluate the perimeter of the rectangular base of a right prism if its sides are 3 cm and 4 cm.</h3>

71 <h3>1.Evaluate the perimeter of the rectangular base of a right prism if its sides are 3 cm and 4 cm.</h3>

73 <p>Perimeter of rectangle = 2a + 2b. Hence P = 2(3) + 2(4) = 6 + 8 = 14 cm.</p>

72 <p>Perimeter of rectangle = 2a + 2b. Hence P = 2(3) + 2(4) = 6 + 8 = 14 cm.</p>

74 <h3>2.What is meant by the perimeter of a right prism?</h3>

73 <h3>2.What is meant by the perimeter of a right prism?</h3>

75 <p>The perimeter of a right prism refers to the total length around the base of the prism. It is the sum of the lengths of all sides of the base shape.</p>

74 <p>The perimeter of a right prism refers to the total length around the base of the prism. It is the sum of the lengths of all sides of the base shape.</p>

76 <h3>3.What are the types of base shapes that can form a right prism?</h3>

75 <h3>3.What are the types of base shapes that can form a right prism?</h3>

77 <p>Common base shapes for right prisms include rectangular, triangular, hexagonal, and any other polygonal shapes.</p>

76 <p>Common base shapes for right prisms include rectangular, triangular, hexagonal, and any other polygonal shapes.</p>

78 <h3>4.Which base shape of a prism has no equal sides?</h3>

77 <h3>4.Which base shape of a prism has no equal sides?</h3>

79 <p>A scalene triangular base is a triangular shape with no equal sides. All three sides of a scalene triangle are different.</p>

78 <p>A scalene triangular base is a triangular shape with no equal sides. All three sides of a scalene triangle are different.</p>

80 <h3>5.Which base shape of a prism typically has the smallest perimeter?</h3>

79 <h3>5.Which base shape of a prism typically has the smallest perimeter?</h3>

81 <p>A base shape with the smallest perimeter for a given area is typically an equilateral triangle.</p>

80 <p>A base shape with the smallest perimeter for a given area is typically an equilateral triangle.</p>

82 <h2>Important Glossaries for Perimeter of Right Prism</h2>

81 <h2>Important Glossaries for Perimeter of Right Prism</h2>

83 <ul><li><strong>Perimeter:</strong>The total length of the sides of a shape.</li>

82 <ul><li><strong>Perimeter:</strong>The total length of the sides of a shape.</li>

84 </ul><ul><li><strong>Right Prism:</strong>A three-dimensional shape with two congruent bases and rectangular lateral faces.</li>

83 </ul><ul><li><strong>Right Prism:</strong>A three-dimensional shape with two congruent bases and rectangular lateral faces.</li>

85 </ul><ul><li><strong>Base:</strong>The face of a prism that is used to define its perimeter and surface area.</li>

84 </ul><ul><li><strong>Base:</strong>The face of a prism that is used to define its perimeter and surface area.</li>

86 </ul><ul><li><strong>Formula for Perimeter of Base:</strong>The mathematical expression used to calculate the perimeter of the base shape, such as P = a + b + c for triangles or P = 2a + 2b for rectangles.</li>

85 </ul><ul><li><strong>Formula for Perimeter of Base:</strong>The mathematical expression used to calculate the perimeter of the base shape, such as P = a + b + c for triangles or P = 2a + 2b for rectangles.</li>

87 </ul><ul><li><strong>Equilateral:</strong>A type of shape, particularly a triangle, where all sides are of equal length.</li>

86 </ul><ul><li><strong>Equilateral:</strong>A type of shape, particularly a triangle, where all sides are of equal length.</li>

88 </ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

87 </ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

89 <p>▶</p>

88 <p>▶</p>

90 <h2>Seyed Ali Fathima S</h2>

89 <h2>Seyed Ali Fathima S</h2>

91 <h3>About the Author</h3>

90 <h3>About the Author</h3>

92 <p>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.</p>

91 <p>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.</p>

93 <h3>Fun Fact</h3>

92 <h3>Fun Fact</h3>

94 <p>: She has songs for each table which helps her to remember the tables</p>

93 <p>: She has songs for each table which helps her to remember the tables</p>