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2026-01-01
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>A rectangular box is a three-dimensional shape with six rectangular faces. The surface area of a rectangular box is the total area covered by its outer surfaces. It includes the areas of all its faces. In this article, we will learn about the surface area of a rectangular box.</p>
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<p>A rectangular box is a three-dimensional shape with six rectangular faces. The surface area of a rectangular box is the total area covered by its outer surfaces. It includes the areas of all its faces. In this article, we will learn about the surface area of a rectangular box.</p>
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<h2>What is the Surface Area of a Rectangular Box?</h2>
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<h2>What is the Surface Area of a Rectangular Box?</h2>
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<p>The surface area of a rectangular box is the total area occupied by the boundary or surface of the box. It is measured in<a>square</a>units.</p>
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<p>The surface area of a rectangular box is the total area occupied by the boundary or surface of the box. It is measured in<a>square</a>units.</p>
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<p>A rectangular box is a 3D shape with six rectangular faces, where opposite faces are equal in area. Each face is a rectangle, which contributes to the total surface area.</p>
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<p>A rectangular box is a 3D shape with six rectangular faces, where opposite faces are equal in area. Each face is a rectangle, which contributes to the total surface area.</p>
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<p>To find the surface area, we calculate the area of each face and add them together.</p>
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<p>To find the surface area, we calculate the area of each face and add them together.</p>
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<h2>Surface Area of a Rectangular Box Formula</h2>
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<h2>Surface Area of a Rectangular Box Formula</h2>
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<p>A rectangular box has six faces, and the total surface area is the<a>sum</a>of the areas of these faces. Look at the box below to understand its surface area, length(l), width(w), and height(h).</p>
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<p>A rectangular box has six faces, and the total surface area is the<a>sum</a>of the areas of these faces. Look at the box below to understand its surface area, length(l), width(w), and height(h).</p>
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<p>A rectangular box has three pairs of opposite faces: </p>
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<p>A rectangular box has three pairs of opposite faces: </p>
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<p>Two faces with dimensions l × w </p>
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<p>Two faces with dimensions l × w </p>
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<p>Two faces with dimensions w × h </p>
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<p>Two faces with dimensions w × h </p>
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<p>Two faces with dimensions h × l</p>
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<p>Two faces with dimensions h × l</p>
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<p>The<a>formula</a>for the total surface area is: Surface Area = 2(lw + wh + hl) square units</p>
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<p>The<a>formula</a>for the total surface area is: Surface Area = 2(lw + wh + hl) square units</p>
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<h2>Calculating the Surface Area of a Rectangular Box</h2>
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<h2>Calculating the Surface Area of a Rectangular Box</h2>
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<p>To find the surface area of a rectangular box, calculate the area of each pair of opposite faces and then sum them up. The formula can be broken down as follows: -</p>
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<p>To find the surface area of a rectangular box, calculate the area of each pair of opposite faces and then sum them up. The formula can be broken down as follows: -</p>
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<p>Area of the top and bottom faces = 2 × (length × width)</p>
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<p>Area of the top and bottom faces = 2 × (length × width)</p>
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<p>Area of the front and back faces = 2 × (width × height) </p>
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<p>Area of the front and back faces = 2 × (width × height) </p>
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<p>Area of the left and right faces = 2 × (height × length)</p>
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<p>Area of the left and right faces = 2 × (height × length)</p>
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<p>Add these areas to get the total surface area: Surface Area = 2(lw + wh + hl)</p>
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<p>Add these areas to get the total surface area: Surface Area = 2(lw + wh + hl)</p>
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<h2>Example Calculations</h2>
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<h2>Example Calculations</h2>
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<p>Let's consider a rectangular box with specific dimensions and calculate its surface area using the formula. Example: Find the surface area of a box with length 5 cm, width 3 cm, and height 4 cm.</p>
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<p>Let's consider a rectangular box with specific dimensions and calculate its surface area using the formula. Example: Find the surface area of a box with length 5 cm, width 3 cm, and height 4 cm.</p>
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<p>Surface Area = 2(lw + wh + hl) = 2(5 × 3 + 3 × 4 + 4 × 5) = 2(15 + 12 + 20) = 2(47) = 94 cm²</p>
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<p>Surface Area = 2(lw + wh + hl) = 2(5 × 3 + 3 × 4 + 4 × 5) = 2(15 + 12 + 20) = 2(47) = 94 cm²</p>
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<h2>Volume of a Rectangular Box</h2>
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<h2>Volume of a Rectangular Box</h2>
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<p>The volume of a rectangular box indicates the amount of space it occupies. It is calculated by multiplying its length, width, and height.</p>
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<p>The volume of a rectangular box indicates the amount of space it occupies. It is calculated by multiplying its length, width, and height.</p>
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<p>The formula for the volume of a rectangular box is: Volume = l × w × h cubic units</p>
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<p>The formula for the volume of a rectangular box is: Volume = l × w × h cubic units</p>
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<h2>Confusing Surface Area with Volume</h2>
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<h2>Confusing Surface Area with Volume</h2>
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<p>Students sometimes confuse surface area with volume. Remember, surface area is the total area of all sides, while volume is the space inside the box.</p>
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<p>Students sometimes confuse surface area with volume. Remember, surface area is the total area of all sides, while volume is the space inside the box.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Use the formula: Surface Area = 2(lw + wh + hl) = 2(8 × 6 + 6 × 5 + 5 × 8) = 2(48 + 30 + 40) = 2(118) = 236 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + wh + hl) = 2(8 × 6 + 6 × 5 + 5 × 8) = 2(48 + 30 + 40) = 2(118) = 236 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 rectangular box with length 10 cm, width 4 cm, and height 7 cm.</p>
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<p>Find the surface area of a rectangular box with length 10 cm, width 4 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 = 268 cm²</p>
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<p>Surface Area = 268 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 + wh + hl) = 2(10 × 4 + 4 × 7 + 7 × 10) = 2(40 + 28 + 70) = 2(138) = 276 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + wh + hl) = 2(10 × 4 + 4 × 7 + 7 × 10) = 2(40 + 28 + 70) = 2(138) = 276 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 rectangular box has a length of 9 cm, width of 5 cm, and height of 2 cm. Find the surface area.</p>
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<p>A rectangular box has a length of 9 cm, width of 5 cm, and height of 2 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 = 148 cm²</p>
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<p>Surface Area = 148 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 + wh + hl) = 2(9 × 5 + 5 × 2 + 2 × 9) = 2(45 + 10 + 18) = 2(73) = 146 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + wh + hl) = 2(9 × 5 + 5 × 2 + 2 × 9) = 2(45 + 10 + 18) = 2(73) = 146 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 box with length 12 cm, width 7 cm, and height 3 cm.</p>
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<p>Find the surface area of a box with length 12 cm, width 7 cm, and height 3 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 282 cm²</p>
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<p>Surface Area = 282 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>Use the formula: Surface Area = 2(lw + wh + hl) = 2(12 × 7 + 7 × 3 + 3 × 12) = 2(84 + 21 + 36) = 2(141) = 282 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + wh + hl) = 2(12 × 7 + 7 × 3 + 3 × 12) = 2(84 + 21 + 36) = 2(141) = 282 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 width of a rectangular box is 6 cm, its height is 4 cm, and its surface area is 208 cm². Find the length.</p>
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<p>The width of a rectangular box is 6 cm, its height is 4 cm, and its surface area is 208 cm². Find the length.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Length = 10 cm</p>
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<p>Length = 10 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 box, including all six rectangular faces.</h2>
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<h2>It is the total area that covers the outside of the box, including all six rectangular faces.</h2>
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<h3>1.What dimensions are needed to calculate the surface area of a rectangular box?</h3>
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<h3>1.What dimensions are needed to calculate the surface area of a rectangular box?</h3>
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<p>You need the length, width, and height of the box to calculate its surface area.</p>
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<p>You need the length, width, and height of the box to calculate its surface area.</p>
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<h3>2.How do you differentiate between surface area and volume?</h3>
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<h3>2.How do you differentiate between surface area and volume?</h3>
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<p>Surface area is the total area of all the outer surfaces, while volume is the space the box occupies inside.</p>
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<p>Surface area is the total area of all the outer surfaces, while volume is the space the box occupies inside.</p>
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<h3>3.What is the formula for the surface area of a rectangular box?</h3>
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<h3>3.What is the formula for the surface area of a rectangular box?</h3>
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<p>The formula is Surface Area = 2(lw + wh + hl), where l is length, w is width, and h is height.</p>
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<p>The formula is Surface Area = 2(lw + wh + hl), where l is length, w is width, and h is height.</p>
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<h3>4.In what units is surface area measured?</h3>
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<h3>4.In what units is surface area measured?</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 a Rectangular Box</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a Rectangular Box</h2>
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<p>Students often make mistakes while calculating the surface area of a rectangular box, which leads 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 rectangular box, which leads 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>