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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 hollow cylinder is a 3-dimensional shape with two circular bases and a cylindrical surface, but it has an empty space inside. The surface area of a hollow cylinder includes the inner and outer curved surfaces and the areas of the two circular bases. In this article, we will learn about the surface area of a hollow cylinder.</p>
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<p>A hollow cylinder is a 3-dimensional shape with two circular bases and a cylindrical surface, but it has an empty space inside. The surface area of a hollow cylinder includes the inner and outer curved surfaces and the areas of the two circular bases. In this article, we will learn about the surface area of a hollow cylinder.</p>
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<h2>What is the Surface Area of a Hollow Cylinder?</h2>
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<h2>What is the Surface Area of a Hollow Cylinder?</h2>
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<p>The surface area of a hollow cylinder is the total area occupied by the outer and inner surfaces of the cylinder, along with the areas of the two circular bases. It is measured in<a>square</a>units.</p>
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<p>The surface area of a hollow cylinder is the total area occupied by the outer and inner surfaces of the cylinder, along with the areas of the two circular bases. It is measured in<a>square</a>units.</p>
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<p>A hollow cylinder is a 3D shape formed by two coaxial cylinders. It has a curved outer surface, a curved inner surface, and two circular bases, making up three distinct surface areas: the outer curved surface area, the inner curved surface area, and the total surface area including the bases.</p>
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<p>A hollow cylinder is a 3D shape formed by two coaxial cylinders. It has a curved outer surface, a curved inner surface, and two circular bases, making up three distinct surface areas: the outer curved surface area, the inner curved surface area, and the total surface area including the bases.</p>
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<h2>Surface Area of a Hollow Cylinder Formula</h2>
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<h2>Surface Area of a Hollow Cylinder Formula</h2>
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<p>A hollow cylinder has three types of surface areas: the outer curved surface area, the inner curved surface area, and the total surface area.</p>
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<p>A hollow cylinder has three types of surface areas: the outer curved surface area, the inner curved surface area, and the total surface area.</p>
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<p>Look at the hollow cylinder below to see its surface area, height(h), outer radius(R), and inner radius(r).</p>
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<p>Look at the hollow cylinder below to see its surface area, height(h), outer radius(R), and inner radius(r).</p>
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<p>A hollow cylinder has three types of surface areas:</p>
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<p>A hollow cylinder has three types of surface areas:</p>
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<p>Outer Curved Surface Area of a Hollow Cylinder</p>
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<p>Outer Curved Surface Area of a Hollow Cylinder</p>
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<p>Inner Curved Surface Area of a Hollow Cylinder</p>
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<p>Inner Curved Surface Area of a Hollow Cylinder</p>
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<p>Total Surface Area of a Hollow Cylinder</p>
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<p>Total Surface Area of a Hollow Cylinder</p>
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<h2>Outer Curved Surface Area of a Hollow Cylinder</h2>
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<h2>Outer Curved Surface Area of a Hollow Cylinder</h2>
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<p>The outer curved surface area of a hollow cylinder is the area of the cylindrical surface on the outside.</p>
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<p>The outer curved surface area of a hollow cylinder is the area of the cylindrical surface on the outside.</p>
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<p>The<a>formula</a>for the outer curved surface area (OCSA) is given as: Outer Curved Surface Area = 2πRh square units</p>
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<p>The<a>formula</a>for the outer curved surface area (OCSA) is given as: Outer Curved Surface Area = 2πRh square units</p>
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<p>Here, R is the outer radius of the hollow cylinder. h is the height of the hollow cylinder.</p>
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<p>Here, R is the outer radius of the hollow cylinder. h is the height of the hollow cylinder.</p>
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<h2>Inner Curved Surface Area of a Hollow Cylinder</h2>
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<h2>Inner Curved Surface Area of a Hollow Cylinder</h2>
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<p>The inner curved surface area of a hollow cylinder is the area of the cylindrical surface on the inside.</p>
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<p>The inner curved surface area of a hollow cylinder is the area of the cylindrical surface on the inside.</p>
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<p>The formula for the inner curved surface area (ICSA) is given as: Inner Curved Surface Area = 2πrh square units</p>
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<p>The formula for the inner curved surface area (ICSA) is given as: Inner Curved Surface Area = 2πrh square units</p>
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<p>Where r is the inner radius of the hollow cylinder. h is the height of the hollow cylinder.</p>
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<p>Where r is the inner radius of the hollow cylinder. h is the height of the hollow cylinder.</p>
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<h2>Total Surface Area of a Hollow Cylinder</h2>
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<h2>Total Surface Area of a Hollow Cylinder</h2>
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<p>The total surface area of a hollow cylinder includes the inner and outer curved surfaces, as well as the areas of the two circular bases.</p>
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<p>The total surface area of a hollow cylinder includes the inner and outer curved surfaces, as well as the areas of the two circular bases.</p>
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<p>The total surface area is calculated by using the formula: Total Surface Area = 2πRh + 2πrh + 2π(R^2 - r^2) square units</p>
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<p>The total surface area is calculated by using the formula: Total Surface Area = 2πRh + 2πrh + 2π(R^2 - r^2) square units</p>
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<p>This includes the outer curved surface area, the inner curved surface area, and the areas of the two circular annuli (the difference between the areas of the large and small circles).</p>
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<p>This includes the outer curved surface area, the inner curved surface area, and the areas of the two circular annuli (the difference between the areas of the large and small circles).</p>
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<h2>Confusion between OCSA and ICSA</h2>
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<h2>Confusion between OCSA and ICSA</h2>
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<p>Students assume that the outer curved surface area (OCSA) and the inner curved surface area (ICSA) of a hollow cylinder are the same. This confusion arises because both involve the height and the radii. Always remember that OCSA uses the outer radius, while ICSA uses the inner radius.</p>
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<p>Students assume that the outer curved surface area (OCSA) and the inner curved surface area (ICSA) of a hollow cylinder are the same. This confusion arises because both involve the height and the radii. Always remember that OCSA uses the outer radius, while ICSA uses the inner radius.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given R = 8 cm, h = 12 cm. Use the formula: OCSA = 2πRh = 2 × 3.14 × 8 × 12 = 603.2 cm²</p>
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<p>Given R = 8 cm, h = 12 cm. Use the formula: OCSA = 2πRh = 2 × 3.14 × 8 × 12 = 603.2 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 total surface area of a hollow cylinder with an outer radius of 10 cm, an inner radius of 7 cm, and a height of 15 cm.</p>
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<p>Find the total surface area of a hollow cylinder with an outer radius of 10 cm, an inner radius of 7 cm, and a height of 15 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>TSA = 1615.4 cm²</p>
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<p>TSA = 1615.4 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: TSA = 2πRh + 2πrh + 2π(R² - r²) = 2 × 3.14 × 10 × 15 + 2 × 3.14 × 7 × 15 + 2 × 3.14 × (10² - 7²) = 942 + 658.8 + 395.6 = 1996.4 cm²</p>
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<p>Use the formula: TSA = 2πRh + 2πrh + 2π(R² - r²) = 2 × 3.14 × 10 × 15 + 2 × 3.14 × 7 × 15 + 2 × 3.14 × (10² - 7²) = 942 + 658.8 + 395.6 = 1996.4 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 hollow cylinder has an outer radius of 6 cm, an inner radius of 4 cm, and a height of 10 cm. Find the inner curved surface area.</p>
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<p>A hollow cylinder has an outer radius of 6 cm, an inner radius of 4 cm, and a height of 10 cm. Find the inner curved surface area.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>ICSA = 251.2 cm²</p>
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<p>ICSA = 251.2 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: ICSA = 2πrh = 2 × 3.14 × 4 × 10 = 251.2 cm²</p>
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<p>Use the formula: ICSA = 2πrh = 2 × 3.14 × 4 × 10 = 251.2 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 total surface area of a hollow cylinder with an outer radius of 9 cm, an inner radius of 5 cm, and a height of 20 cm.</p>
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<p>Find the total surface area of a hollow cylinder with an outer radius of 9 cm, an inner radius of 5 cm, and a height of 20 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>TSA = 2970.4 cm²</p>
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<p>TSA = 2970.4 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: TSA = 2πRh + 2πrh + 2π(R² - r²) = 2 × 3.14 × 9 × 20 + 2 × 3.14 × 5 × 20 + 2 × 3.14 × (9² - 5²) = 1130.4 + 628 + 251.2 = 2009.6 cm²</p>
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<p>Use the formula: TSA = 2πRh + 2πrh + 2π(R² - r²) = 2 × 3.14 × 9 × 20 + 2 × 3.14 × 5 × 20 + 2 × 3.14 × (9² - 5²) = 1130.4 + 628 + 251.2 = 2009.6 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 inner curved surface area of a hollow cylinder is 440 cm², with an inner radius of 7 cm. Find the height.</p>
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<p>The inner curved surface area of a hollow cylinder is 440 cm², with an inner radius of 7 cm. Find the height.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Height = 10 cm</p>
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<p>Height = 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 and inside of the hollow cylinder, including the curved surfaces and the annular bases.</h2>
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<h2>It is the total area that covers the outside and inside of the hollow cylinder, including the curved surfaces and the annular bases.</h2>
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<h3>1.What are the different surface areas in a hollow cylinder?</h3>
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<h3>1.What are the different surface areas in a hollow cylinder?</h3>
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<p>Outer curved surface area, inner curved surface area, and total surface area including the annular bases are the different surface areas.</p>
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<p>Outer curved surface area, inner curved surface area, and total surface area including the annular bases are the different surface areas.</p>
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<h3>2.How do you find the total surface area of a hollow cylinder?</h3>
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<h3>2.How do you find the total surface area of a hollow cylinder?</h3>
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<p>Add the outer curved surface area, the inner curved surface area, and the areas of the two annular bases.</p>
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<p>Add the outer curved surface area, the inner curved surface area, and the areas of the two annular bases.</p>
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<h3>3.What is the formula for the annular base area of a hollow cylinder?</h3>
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<h3>3.What is the formula for the annular base area of a hollow cylinder?</h3>
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<p>The annular base area is π(R² - r²), where R is the outer radius and r is the inner radius.</p>
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<p>The annular base area is π(R² - r²), where R is the outer radius and r is the inner radius.</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 a Hollow Cylinder</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a Hollow Cylinder</h2>
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<p>Students often make mistakes while calculating the surface area of a hollow cylinder, which leads to wrong 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 a hollow cylinder, which leads to wrong 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>