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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>A 3D rectangle, also known as a rectangular prism or cuboid, is a 3-dimensional shape with six rectangular faces. The surface area of a 3D rectangle is the total area covered by its outer surface. It includes the areas of all six faces of the cuboid. In this article, we will learn about the surface area of a 3D rectangle.</p>
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<p>A 3D rectangle, also known as a rectangular prism or cuboid, is a 3-dimensional shape with six rectangular faces. The surface area of a 3D rectangle is the total area covered by its outer surface. It includes the areas of all six faces of the cuboid. In this article, we will learn about the surface area of a 3D rectangle.</p>
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<h2>What is the Surface Area of a 3D Rectangle?</h2>
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<h2>What is the Surface Area of a 3D Rectangle?</h2>
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<p>The surface area of a 3D rectangle is the total area occupied by its external surfaces. It is measured in<a>square</a>units.</p>
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<p>The surface area of a 3D rectangle is the total area occupied by its external surfaces. It is measured in<a>square</a>units.</p>
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<p>A 3D rectangle has six rectangular faces, forming a box-like shape.</p>
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<p>A 3D rectangle has six rectangular faces, forming a box-like shape.</p>
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<p>Each face has a length and width, and the total surface area is the<a>sum</a>of the areas of all these faces.</p>
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<p>Each face has a length and width, and the total surface area is the<a>sum</a>of the areas of all these faces.</p>
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<p>Cuboids are often found in everyday objects like boxes, bricks, and books.</p>
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<p>Cuboids are often found in everyday objects like boxes, bricks, and books.</p>
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<h2>Surface Area of a 3D Rectangle Formula</h2>
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<h2>Surface Area of a 3D Rectangle Formula</h2>
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<p>A 3D rectangle has six faces, and the surface area is calculated by adding the areas of all these faces.</p>
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<p>A 3D rectangle has six faces, and the surface area is calculated by adding the areas of all these faces.</p>
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<p>They are paired as opposite faces, each having the same area.</p>
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<p>They are paired as opposite faces, each having the same area.</p>
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<p>A cuboid has three pairs of opposite faces. If the dimensions are given as length (l), width (w), and height (h), the<a>formula</a>for the surface area is: Surface Area = 2(lw + lh + wh)</p>
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<p>A cuboid has three pairs of opposite faces. If the dimensions are given as length (l), width (w), and height (h), the<a>formula</a>for the surface area is: Surface Area = 2(lw + lh + wh)</p>
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<h2>Finding the Surface Area of a 3D Rectangle</h2>
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<h2>Finding the Surface Area of a 3D Rectangle</h2>
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<p>To calculate the surface area of a 3D rectangle, you must find the area of each pair of opposite faces and then add them up.</p>
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<p>To calculate the surface area of a 3D rectangle, you must find the area of each pair of opposite faces and then add them up.</p>
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<p>The formula is derived from adding the areas of the three unique faces and multiplying by two:</p>
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<p>The formula is derived from adding the areas of the three unique faces and multiplying by two:</p>
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<p>Surface Area = 2(lw + lh + wh)</p>
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<p>Surface Area = 2(lw + lh + wh)</p>
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<p>Here, l is the length, w is the width, and h is the height of the cuboid.</p>
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<p>Here, l is the length, w is the width, and h is the height of the cuboid.</p>
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<h2>Example Calculations of Surface Area</h2>
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<h2>Example Calculations of Surface Area</h2>
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<p>Let's use an example to better understand the calculation. Consider a 3D rectangle with dimensions: </p>
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<p>Let's use an example to better understand the calculation. Consider a 3D rectangle with dimensions: </p>
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<p>Length = 4 cm </p>
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<p>Length = 4 cm </p>
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<p>Width = 3 cm </p>
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<p>Width = 3 cm </p>
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<p>Height = 5 cm</p>
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<p>Height = 5 cm</p>
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<p>Using the formula: Surface Area = 2(lw + lh + wh) = 2(4×3 + 4×5 + 3×5) = 2(12 + 20 + 15) = 2×47 = 94 cm²</p>
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<p>Using the formula: Surface Area = 2(lw + lh + wh) = 2(4×3 + 4×5 + 3×5) = 2(12 + 20 + 15) = 2×47 = 94 cm²</p>
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<h2>Volume of a 3D Rectangle</h2>
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<h2>Volume of a 3D Rectangle</h2>
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<p>The volume of a 3D rectangle indicates how much space it occupies.</p>
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<p>The volume of a 3D rectangle indicates how much space it occupies.</p>
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<p>It is calculated using the<a>product</a>of its dimensions: length, width, and height.</p>
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<p>It is calculated using the<a>product</a>of its dimensions: length, width, and height.</p>
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<p>The formula for the volume is: Volume = l×w×h (cubic units)</p>
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<p>The formula for the volume is: Volume = l×w×h (cubic units)</p>
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<h2>Mixing Up Dimensions</h2>
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<h2>Mixing Up Dimensions</h2>
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<p>Students may confuse length, width, and height. Always ensure you correctly label and use these dimensions in the formula.</p>
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<p>Students may confuse length, width, and height. Always ensure you correctly label and use these dimensions in the formula.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given l = 6 cm, w = 4 cm, h = 3 cm. Use the formula: Surface Area = 2(lw + lh + wh) = 2(6×4 + 6×3 + 4×3) = 2(24 + 18 + 12) = 2×54 = 108 cm²</p>
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<p>Given l = 6 cm, w = 4 cm, h = 3 cm. Use the formula: Surface Area = 2(lw + lh + wh) = 2(6×4 + 6×3 + 4×3) = 2(24 + 18 + 12) = 2×54 = 108 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 a 3D rectangle with dimensions: length 8 cm, width 5 cm, and height 7 cm.</p>
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<p>Find the surface area of a 3D rectangle with dimensions: length 8 cm, width 5 cm, and height 7 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 262 cm²</p>
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<p>Surface Area = 262 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>Use the formula: Surface Area = 2(lw + lh + wh) = 2(8×5 + 8×7 + 5×7) = 2(40 + 56 + 35) = 2×131 = 262 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + lh + wh) = 2(8×5 + 8×7 + 5×7) = 2(40 + 56 + 35) = 2×131 = 262 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>A box has dimensions of length 10 cm, width 6 cm, and height 4 cm. Find the surface area.</p>
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<p>A box has dimensions of length 10 cm, width 6 cm, and height 4 cm. Find the surface area.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 248 cm²</p>
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<p>Surface Area = 248 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>Use the formula: Surface Area = 2(lw + lh + wh) = 2(10×6 + 10×4 + 6×4) = 2(60 + 40 + 24) = 2×124 = 248 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + lh + wh) = 2(10×6 + 10×4 + 6×4) = 2(60 + 40 + 24) = 2×124 = 248 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 a rectangular prism with length 9 cm, width 3 cm, and height 5 cm.</p>
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<p>Calculate the surface area of a rectangular prism with length 9 cm, width 3 cm, and height 5 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 174 cm²</p>
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<p>Surface Area = 174 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>Surface Area = 2(lw + lh + wh) = 2(9×3 + 9×5 + 3×5) = 2(27 + 45 + 15) = 2×87 = 174 cm²</p>
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<p>Surface Area = 2(lw + lh + wh) = 2(9×3 + 9×5 + 3×5) = 2(27 + 45 + 15) = 2×87 = 174 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>The surface area of a 3D rectangle is 150 cm². If its length and width are 5 cm and 3 cm, respectively, find the height.</p>
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<p>The surface area of a 3D rectangle is 150 cm². If its length and width are 5 cm and 3 cm, respectively, find the height.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Height = 5 cm</p>
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<p>Height = 5 cm</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 3D rectangle, including all its six rectangular faces.</h2>
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<h2>It is the total area that covers the outside of the 3D rectangle, including all its six rectangular faces.</h2>
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<h3>1.How do you calculate the surface area of a 3D rectangle?</h3>
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<h3>1.How do you calculate the surface area of a 3D rectangle?</h3>
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<p>Use the formula: Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.</p>
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<p>Use the formula: Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.</p>
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<h3>2.What is the difference between surface area and volume?</h3>
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<h3>2.What is the difference between surface area and volume?</h3>
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<p>Surface area measures the total area of the outside surfaces, while volume measures the space inside the 3D rectangle.</p>
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<p>Surface area measures the total area of the outside surfaces, while volume measures the space inside the 3D rectangle.</p>
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<h3>3.Can surface area be measured in cubic units?</h3>
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<h3>3.Can surface area be measured in cubic units?</h3>
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<p>No, surface area is measured in square units like cm², m², or in².</p>
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<p>No, surface area is measured in square units like cm², m², or in².</p>
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<h3>4.Are all sides of a 3D rectangle equal?</h3>
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<h3>4.Are all sides of a 3D rectangle equal?</h3>
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<p>No, a 3D rectangle has three pairs of opposite faces, each pair having the same dimensions.</p>
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<p>No, a 3D rectangle has three pairs of opposite faces, each pair having the same dimensions.</p>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a 3D Rectangle</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a 3D Rectangle</h2>
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<p>Students often make mistakes while calculating the surface area of a 3D rectangle, 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 a 3D rectangle, 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>