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2026-01-01
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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>Cubes and rectangular prisms are 3-dimensional shapes with flat faces. The surface area of these shapes is the total area covered by their outer surfaces. For cubes, all faces are equal squares, while rectangular prisms have opposite faces that are equal rectangles. In this article, we will learn about the surface area of cubes and rectangular prisms.</p>
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<p>Cubes and rectangular prisms are 3-dimensional shapes with flat faces. The surface area of these shapes is the total area covered by their outer surfaces. For cubes, all faces are equal squares, while rectangular prisms have opposite faces that are equal rectangles. In this article, we will learn about the surface area of cubes and rectangular prisms.</p>
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<h2>What is the Surface Area of Cubes and Rectangular Prisms?</h2>
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<h2>What is the Surface Area of Cubes and Rectangular Prisms?</h2>
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<p>The surface area of<a>cubes</a>and rectangular prisms is the total area occupied by the boundary or surface of these shapes.</p>
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<p>The surface area of<a>cubes</a>and rectangular prisms is the total area occupied by the boundary or surface of these shapes.</p>
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<p>It is measured in<a>square</a>units.</p>
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<p>It is measured in<a>square</a>units.</p>
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<p>A cube is a 3D shape with all sides equal, making it a special type of rectangular prism.</p>
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<p>A cube is a 3D shape with all sides equal, making it a special type of rectangular prism.</p>
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<p>A rectangular prism has six rectangular faces, with opposite faces being identical.</p>
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<p>A rectangular prism has six rectangular faces, with opposite faces being identical.</p>
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<p>Surface areas are classified based on the shape: the surface area of a cube and the surface area of a rectangular prism.</p>
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<p>Surface areas are classified based on the shape: the surface area of a cube and the surface area of a rectangular prism.</p>
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<h2>Surface Area of Cubes and Rectangular Prisms Formula</h2>
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<h2>Surface Area of Cubes and Rectangular Prisms Formula</h2>
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<p>Cubes and rectangular prisms have straightforward surface area<a>formulas</a>due to their regular shapes.</p>
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<p>Cubes and rectangular prisms have straightforward surface area<a>formulas</a>due to their regular shapes.</p>
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<p>For a cube with side length s, the surface area is:</p>
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<p>For a cube with side length s, the surface area is:</p>
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<p>Surface Area of a Cube = 6s²</p>
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<p>Surface Area of a Cube = 6s²</p>
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<p>For a rectangular prism with length l, width w, and height h, the surface area is:</p>
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<p>For a rectangular prism with length l, width w, and height h, the surface area is:</p>
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<p>Surface Area of a Rectangular Prism = 2(lw + lh + wh)</p>
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<p>Surface Area of a Rectangular Prism = 2(lw + lh + wh)</p>
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<h2>Surface Area of a Cube</h2>
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<h2>Surface Area of a Cube</h2>
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<p>The surface area of a cube is the total area covered by all six of its identical square faces.</p>
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<p>The surface area of a cube is the total area covered by all six of its identical square faces.</p>
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<p>Each face of a cube is a square with the side length s.</p>
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<p>Each face of a cube is a square with the side length s.</p>
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<p>The formula to calculate the surface area of a cube is:</p>
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<p>The formula to calculate the surface area of a cube is:</p>
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<p>Surface Area = 6s² Where s is the length of a side of the cube.</p>
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<p>Surface Area = 6s² Where s is the length of a side of the cube.</p>
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<h2>Surface Area of a Rectangular Prism</h2>
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<h2>Surface Area of a Rectangular Prism</h2>
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<p>The total area occupied by the rectangular prism, including the area of all six rectangular faces, is known as the surface area of the rectangular prism.</p>
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<p>The total area occupied by the rectangular prism, including the area of all six rectangular faces, is known as the surface area of the rectangular prism.</p>
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<p>The formula for calculating the surface area is:</p>
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<p>The formula for calculating the surface area is:</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>Where l is the length, w is the width, and h is the height of the rectangular prism.</p>
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<p>Where l is the length, w is the width, and h is the height of the rectangular prism.</p>
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<h2>Volume of Cubes and Rectangular Prisms</h2>
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<h2>Volume of Cubes and Rectangular Prisms</h2>
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<p>The volume of these shapes shows how much space is inside them.</p>
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<p>The volume of these shapes shows how much space is inside them.</p>
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<p>For a cube, the volume is the cube of its side length, and for a rectangular prism, it’s the<a>product</a>of its dimensions.</p>
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<p>For a cube, the volume is the cube of its side length, and for a rectangular prism, it’s the<a>product</a>of its dimensions.</p>
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<p>The formulas are:</p>
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<p>The formulas are:</p>
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<p>Volume of a Cube = s³ Volume of a Rectangular Prism = lwh</p>
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<p>Volume of a Cube = s³ Volume of a Rectangular Prism = lwh</p>
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<h2>Confusing volume with surface area</h2>
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<h2>Confusing volume with surface area</h2>
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<p>Students sometimes mix up the concept of volume and surface area. Remember, volume measures the space inside, while surface area measures the outer covering.</p>
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<p>Students sometimes mix up the concept of volume and surface area. Remember, volume measures the space inside, while surface area measures the outer covering.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given s = 4 cm. Use the formula: Surface Area = 6s² = 6 × (4)² = 6 × 16 = 96 cm²</p>
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<p>Given s = 4 cm. Use the formula: Surface Area = 6s² = 6 × (4)² = 6 × 16 = 96 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 prism with dimensions 3 cm by 4 cm by 5 cm.</p>
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<p>Find the surface area of a rectangular prism with dimensions 3 cm by 4 cm by 5 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 94 cm²</p>
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<p>Surface Area = 94 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(3 × 4 + 3 × 5 + 4 × 5) = 2(12 + 15 + 20) = 2 × 47 = 94 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + lh + wh) = 2(3 × 4 + 3 × 5 + 4 × 5) = 2(12 + 15 + 20) = 2 × 47 = 94 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 cube has a side length of 7 cm. Find its surface area.</p>
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<p>A cube has a side length of 7 cm. Find its surface area.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 294 cm²</p>
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<p>Surface Area = 294 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 = 6s² = 6 × (7)² = 6 × 49 = 294 cm²</p>
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<p>Use the formula: Surface Area = 6s² = 6 × (7)² = 6 × 49 = 294 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 prism with length 10 cm, width 4 cm, and height 6 cm.</p>
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<p>Find the surface area of a rectangular prism with length 10 cm, width 4 cm, and height 6 cm.</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 4</h3>
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<h3>Problem 4</h3>
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<p>Use the formula: Surface Area = 2(lw + lh + wh) = 2(10 × 4 + 10 × 6 + 4 × 6) = 2(40 + 60 + 24) = 2 × 124 = 248 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + lh + wh) = 2(10 × 4 + 10 × 6 + 4 × 6) = 2(40 + 60 + 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>The surface area of a cube is 150 cm². Find the side length.</p>
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<p>The surface area of a cube is 150 cm². Find the side length.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Side Length = 5 cm</p>
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<p>Side Length = 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 cube across all six of its equal square faces.</h2>
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<h2>It is the total area that covers the outside of the cube across all six of its equal square faces.</h2>
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<h3>1.How do you calculate the surface area of a rectangular prism?</h3>
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<h3>1.How do you calculate the surface area of a rectangular prism?</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 a cube and a rectangular prism?</h3>
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<h3>2.What is the difference between a cube and a rectangular prism?</h3>
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<p>A cube has all sides equal, making it a special type of rectangular prism, while a rectangular prism has different lengths for its dimensions.</p>
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<p>A cube has all sides equal, making it a special type of rectangular prism, while a rectangular prism has different lengths for its dimensions.</p>
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<h3>3.Are surface area and volume the same?</h3>
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<h3>3.Are surface area and volume the same?</h3>
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<p>No, surface area measures the total area of the outer surface, while volume measures the space inside the shape.</p>
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<p>No, surface area measures the total area of the outer surface, while volume measures the space inside the shape.</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 Cubes and Rectangular Prisms</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of Cubes and Rectangular Prisms</h2>
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<p>Students often make mistakes while calculating the surface area of cubes and rectangular prisms, leading to incorrect answers. Below are some common mistakes and the ways to avoid them.</p>
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<p>Students often make mistakes while calculating the surface area of cubes and rectangular prisms, leading to incorrect answers. Below are some common mistakes and the 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>