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<p>Last updated on<strong>August 30, 2025</strong></p>
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<p>Last updated on<strong>August 30, 2025</strong></p>
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<p>An equilateral triangular prism is a 3-dimensional shape with two congruent equilateral triangular bases and three rectangular lateral faces. The surface area of an equilateral triangular prism is the total area covered by its outer surface. The surface area includes the areas of both triangular bases and the rectangular lateral faces. In this article, we will learn about the surface area of an equilateral triangular prism.</p>
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<p>An equilateral triangular prism is a 3-dimensional shape with two congruent equilateral triangular bases and three rectangular lateral faces. The surface area of an equilateral triangular prism is the total area covered by its outer surface. The surface area includes the areas of both triangular bases and the rectangular lateral faces. In this article, we will learn about the surface area of an equilateral triangular prism.</p>
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<h2>What is the Surface Area of an Equilateral Triangular Prism?</h2>
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<h2>What is the Surface Area of an Equilateral Triangular Prism?</h2>
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<p>The surface area<a>of</a>an equilateral triangular prism is the total area occupied by the surface of the prism.</p>
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<p>The surface area<a>of</a>an equilateral triangular prism is the total area occupied by the surface of the prism.</p>
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<p>It is measured in<a>square</a>units. An equilateral triangular prism has two parallel equilateral triangles as its bases and three rectangular lateral faces.</p>
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<p>It is measured in<a>square</a>units. An equilateral triangular prism has two parallel equilateral triangles as its bases and three rectangular lateral faces.</p>
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<p>Each side of the triangular<a>base</a>has the same length. To calculate the surface area, we consider both the areas of the triangular bases and the rectangular sides.</p>
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<p>Each side of the triangular<a>base</a>has the same length. To calculate the surface area, we consider both the areas of the triangular bases and the rectangular sides.</p>
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<h2>Surface Area of an Equilateral Triangular Prism Formula</h2>
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<h2>Surface Area of an Equilateral Triangular Prism Formula</h2>
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<p>An equilateral triangular prism has two types of surface areas: the area of its triangular bases and the area of its rectangular lateral faces.</p>
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<p>An equilateral triangular prism has two types of surface areas: the area of its triangular bases and the area of its rectangular lateral faces.</p>
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<p>Visualize the prism to understand its surface area, side length (s), and height (h).</p>
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<p>Visualize the prism to understand its surface area, side length (s), and height (h).</p>
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<p>The surface area of an equilateral triangular prism is given by:</p>
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<p>The surface area of an equilateral triangular prism is given by:</p>
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<p>Base Area of a Triangular Prism Lateral Surface Area of a Triangular Prism</p>
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<p>Base Area of a Triangular Prism Lateral Surface Area of a Triangular Prism</p>
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<h2>Base Area of a Triangular Prism</h2>
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<h2>Base Area of a Triangular Prism</h2>
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<p>The area of each triangular base is calculated using the<a>formula</a>for the area of an equilateral triangle.</p>
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<p>The area of each triangular base is calculated using the<a>formula</a>for the area of an equilateral triangle.</p>
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<p>The formula is: Base Area = (√3/4) × s² Here, s is the side length of the equilateral triangle.</p>
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<p>The formula is: Base Area = (√3/4) × s² Here, s is the side length of the equilateral triangle.</p>
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<h2>Lateral Surface Area of a Triangular Prism</h2>
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<h2>Lateral Surface Area of a Triangular Prism</h2>
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<p>The lateral surface area is the total area of the three rectangular sides. It is calculated using the formula:</p>
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<p>The lateral surface area is the total area of the three rectangular sides. It is calculated using the formula:</p>
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<p>Lateral Surface Area = Perimeter of base × height = 3s × h</p>
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<p>Lateral Surface Area = Perimeter of base × height = 3s × h</p>
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<p>Where s is the side length of the triangular base, and h is the height of the prism.</p>
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<p>Where s is the side length of the triangular base, and h is the height of the prism.</p>
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<h2>Total Surface Area of an Equilateral Triangular Prism</h2>
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<h2>Total Surface Area of an Equilateral Triangular Prism</h2>
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<p>The total surface area of the prism is the<a>sum</a>of the areas of the two triangular bases and the lateral surface area. It is calculated using the formula:</p>
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<p>The total surface area of the prism is the<a>sum</a>of the areas of the two triangular bases and the lateral surface area. It is calculated using the formula:</p>
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<p>Total Surface Area = 2 × Base Area + Lateral Surface Area = 2 × (√3/4) × s² + 3s × h</p>
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<p>Total Surface Area = 2 × Base Area + Lateral Surface Area = 2 × (√3/4) × s² + 3s × h</p>
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<h2>Confusion between Base Area and Lateral Surface Area</h2>
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<h2>Confusion between Base Area and Lateral Surface Area</h2>
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<p>Students may confuse the formulas for the base area and the lateral surface area. Remember that the base area is calculated using the formula for an equilateral triangle, while the lateral surface area involves the perimeter of the base and the height of the prism.</p>
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<p>Students may confuse the formulas for the base area and the lateral surface area. Remember that the base area is calculated using the formula for an equilateral triangle, while the lateral surface area involves the perimeter of the base and the height of the prism.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given s = 6 cm, h = 10 cm. Base Area of one triangle = (√3/4) × s² = (√3/4) × 36 = 9√3 cm² Lateral Surface Area = 3s × h = 3 × 6 × 10 = 180 cm² Total Surface Area = 2 × 9√3 + 180 ≈ 31.18 + 180 ≈ 211.18 cm²</p>
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<p>Given s = 6 cm, h = 10 cm. Base Area of one triangle = (√3/4) × s² = (√3/4) × 36 = 9√3 cm² Lateral Surface Area = 3s × h = 3 × 6 × 10 = 180 cm² Total Surface Area = 2 × 9√3 + 180 ≈ 31.18 + 180 ≈ 211.18 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Calculate the surface area of an equilateral triangular prism with side length 4 cm and height 8 cm.</p>
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<p>Calculate the surface area of an equilateral triangular prism with side length 4 cm and height 8 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 105.86 cm²</p>
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<p>Surface Area = 105.86 cm²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>Base Area of one triangle = (√3/4) × 4² = 4√3 cm² Lateral Surface Area = 3 × 4 × 8 = 96 cm² Total Surface Area = 2 × 4√3 + 96 ≈ 13.86 + 96 ≈ 109.86 cm²</p>
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<p>Base Area of one triangle = (√3/4) × 4² = 4√3 cm² Lateral Surface Area = 3 × 4 × 8 = 96 cm² Total Surface Area = 2 × 4√3 + 96 ≈ 13.86 + 96 ≈ 109.86 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>An equilateral triangular prism has a side length of 5 cm and a height of 7 cm. Find its total surface area.</p>
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<p>An equilateral triangular prism has a side length of 5 cm and a height of 7 cm. Find its total surface area.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 122.71 cm²</p>
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<p>Surface Area = 122.71 cm²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Base Area of one triangle = (√3/4) × 5² = 25√3/4 cm² Lateral Surface Area = 3 × 5 × 7 = 105 cm² Total Surface Area = 2 × (25√3/4) + 105 ≈ 21.65 + 105 ≈ 126.65 cm²</p>
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<p>Base Area of one triangle = (√3/4) × 5² = 25√3/4 cm² Lateral Surface Area = 3 × 5 × 7 = 105 cm² Total Surface Area = 2 × (25√3/4) + 105 ≈ 21.65 + 105 ≈ 126.65 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Find the surface area of an equilateral triangular prism where the side length is 3 cm and the height is 6 cm.</p>
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<p>Find the surface area of an equilateral triangular prism where the side length is 3 cm and the height is 6 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 68.08 cm²</p>
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<p>Surface Area = 68.08 cm²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Base Area of one triangle = (√3/4) × 3² = (√3/4) × 9 = 2.25√3 cm² Lateral Surface Area = 3 × 3 × 6 = 54 cm² Total Surface Area = 2 × 2.25√3 + 54 ≈ 7.79 + 54 ≈ 61.79 cm²</p>
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<p>Base Area of one triangle = (√3/4) × 3² = (√3/4) × 9 = 2.25√3 cm² Lateral Surface Area = 3 × 3 × 6 = 54 cm² Total Surface Area = 2 × 2.25√3 + 54 ≈ 7.79 + 54 ≈ 61.79 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Determine the surface area of an equilateral triangular prism with a side length of 8 cm and a height of 12 cm.</p>
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<p>Determine the surface area of an equilateral triangular prism with a side length of 8 cm and a height of 12 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 297.86 cm²</p>
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<p>Surface Area = 297.86 cm²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>It is the total area that covers the outside of the prism, including both the triangular bases and the lateral rectangular faces.</h2>
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<h2>It is the total area that covers the outside of the prism, including both the triangular bases and the lateral rectangular faces.</h2>
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<h3>1.What are the components of the surface area in an equilateral triangular prism?</h3>
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<h3>1.What are the components of the surface area in an equilateral triangular prism?</h3>
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<p>The surface area consists of the base area of the triangular bases and the lateral surface area of the rectangular sides.</p>
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<p>The surface area consists of the base area of the triangular bases and the lateral surface area of the rectangular sides.</p>
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<h3>2.How do you find the base area of an equilateral triangular prism?</h3>
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<h3>2.How do you find the base area of an equilateral triangular prism?</h3>
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<p>The base area is found using the formula (√3/4) × s², where s is the side length of the equilateral triangle.</p>
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<p>The base area is found using the formula (√3/4) × s², where s is the side length of the equilateral triangle.</p>
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<h3>3.What is the lateral surface area of an equilateral triangular prism?</h3>
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<h3>3.What is the lateral surface area of an equilateral triangular prism?</h3>
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<p>The lateral surface area is the total area of the three rectangular sides, calculated as 3s × h, where s is the side length of the triangular base and h is the height of the prism.</p>
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<p>The lateral surface area is the total area of the three rectangular sides, calculated as 3s × h, where s is the side length of the triangular base and h is the height of the prism.</p>
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<h3>4.What unit is surface area measured in?</h3>
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<h3>4.What unit is surface area measured in?</h3>
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<p>Surface area is always measured in square units like cm², m², or in².</p>
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<p>Surface area is always measured in square units like cm², m², or in².</p>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of an Equilateral Triangular Prism</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of an Equilateral Triangular Prism</h2>
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<p>Students often make mistakes while calculating the surface area of an equilateral triangular prism, leading to incorrect answers. Below are some common mistakes and ways to avoid them.</p>
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<p>Students often make mistakes while calculating the surface area of an equilateral triangular prism, leading to incorrect answers. Below are some common mistakes and ways to avoid them.</p>
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<p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<h2>Seyed Ali Fathima S</h2>
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<h2>Seyed Ali Fathima S</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<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>
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<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>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She has songs for each table which helps her to remember the tables</p>
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<p>: She has songs for each table which helps her to remember the tables</p>