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<p>Last updated on<strong>September 4, 2025</strong></p>
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<p>Last updated on<strong>September 4, 2025</strong></p>
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<p>A rectangular prism is a 3-dimensional shape with six rectangular faces. The surface area of the rectangular prism is the total area covered by its outer surface. In this article, we will learn about the surface area of a rectangular prism.</p>
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<p>A rectangular prism is a 3-dimensional shape with six rectangular faces. The surface area of the rectangular prism is the total area covered by its outer surface. In this article, we will learn about the surface area of a rectangular prism.</p>
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<h2>What is the Surface Area of a Rectangular Prism?</h2>
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<h2>What is the Surface Area of a Rectangular Prism?</h2>
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<p>The surface area<a>of</a>a rectangular prism is the total area occupied by the surface of the prism. It is measured in<a>square</a>units.</p>
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<p>The surface area<a>of</a>a rectangular prism is the total area occupied by the surface of the prism. It is measured in<a>square</a>units.</p>
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<p>A rectangular prism is a 3D shape with six faces, all of which are rectangles. It has opposite faces that are equal in area. In a rectangular prism, three dimensions are defined: length (l), width (w), and height (h).</p>
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<p>A rectangular prism is a 3D shape with six faces, all of which are rectangles. It has opposite faces that are equal in area. In a rectangular prism, three dimensions are defined: length (l), width (w), and height (h).</p>
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<h2>Surface Area of a Rectangular Prism Formula</h2>
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<h2>Surface Area of a Rectangular Prism Formula</h2>
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<p>A rectangular prism has a total surface area composed of its six rectangular faces. The<a>formula</a>to find the total surface area (TSA) of a rectangular prism is:</p>
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<p>A rectangular prism has a total surface area composed of its six rectangular faces. The<a>formula</a>to find the total surface area (TSA) of a rectangular prism is:</p>
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<p>Total Surface Area = 2(lw + lh + wh)</p>
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<p>Total 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>Example Calculation for Surface Area of a Rectangular Prism</h2>
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<h2>Example Calculation for Surface Area of a Rectangular Prism</h2>
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<p>Consider a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 4 cm. The surface area can be calculated as follows:</p>
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<p>Consider a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 4 cm. The surface area can be calculated as follows:</p>
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<p>Total Surface Area = 2(lw + lh + wh) = 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2*47 = 94 cm²</p>
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<p>Total Surface Area = 2(lw + lh + wh) = 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2*47 = 94 cm²</p>
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<h2>Volume of a Rectangular Prism</h2>
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<h2>Volume of a Rectangular Prism</h2>
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<p>The volume of a rectangular prism shows how much space is inside it. It can be found using the formula: Volume = l*w*h It is measured in cubic units and represents the capacity of the prism.</p>
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<p>The volume of a rectangular prism shows how much space is inside it. It can be found using the formula: Volume = l*w*h It is measured in cubic units and represents the capacity of the prism.</p>
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<h2>Confusion between Surface Area and Volume</h2>
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<h2>Confusion between Surface Area and Volume</h2>
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<p>Students sometimes confuse the formulas for surface area and volume. Always remember that surface area is measured in square units and involves the area of all faces, while volume is measured in cubic units and involves multiplying all three dimensions.</p>
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<p>Students sometimes confuse the formulas for surface area and volume. Always remember that surface area is measured in square units and involves the area of all faces, while volume is measured in cubic units and involves multiplying all three dimensions.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given l = 8 cm, w = 5 cm, h = 2 cm. Use the formula: TSA = 2(lw + lh + wh) = 2(8*5 + 8*2 + 5*2) = 2(40 + 16 + 10) = 2*66 = 132 cm²</p>
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<p>Given l = 8 cm, w = 5 cm, h = 2 cm. Use the formula: TSA = 2(lw + lh + wh) = 2(8*5 + 8*2 + 5*2) = 2(40 + 16 + 10) = 2*66 = 132 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 10 cm by 6 cm by 4 cm.</p>
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<p>Find the surface area of a rectangular prism with dimensions 10 cm by 6 cm by 4 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 2</h3>
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<h3>Problem 2</h3>
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<p>Use the formula: TSA = 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: TSA = 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>A rectangular prism has a length of 7 cm, a width of 3 cm, and a height of 5 cm. Find the surface area.</p>
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<p>A rectangular prism has a length of 7 cm, a width of 3 cm, and a height of 5 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 = 142 cm²</p>
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<p>Surface Area = 142 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 a rectangular prism, including all six rectangular faces.</h2>
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<h2>It is the total area that covers the outside of a rectangular prism, including all six rectangular 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>The surface area is calculated using the formula: TSA = 2(lw + lh + wh), where l is length, w is width, and h is height.</p>
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<p>The surface area is calculated using the formula: TSA = 2(lw + lh + wh), where l is length, w is width, and h is height.</p>
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<h3>2.What unit is surface area measured in?</h3>
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<h3>2.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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<h3>3.Can the surface area formula be used for other shapes?</h3>
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<h3>3.Can the surface area formula be used for other shapes?</h3>
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<p>No, the formula 2(lw + lh + wh) is specific to rectangular prisms. Different shapes have different surface area formulas.</p>
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<p>No, the formula 2(lw + lh + wh) is specific to rectangular prisms. Different shapes have different surface area formulas.</p>
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<h3>4.Is surface area the same as volume?</h3>
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<h3>4.Is surface area the same as volume?</h3>
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<p>No, surface area measures the total area of all external faces, while volume measures the space inside the shape.</p>
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<p>No, surface area measures the total area of all external faces, while volume measures the space inside the shape.</p>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a Rectangular Prism</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a Rectangular Prism</h2>
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<p>Students often make mistakes while calculating the surface area of a rectangular 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 a rectangular 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>