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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 solid, also known as a rectangular prism, is a 3-dimensional shape with six faces, all of which are rectangles. The surface area of a rectangular solid is the total area covered by its outer surface. In this article, we will learn about the surface area of a rectangular solid.</p>
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<p>A rectangular solid, also known as a rectangular prism, is a 3-dimensional shape with six faces, all of which are rectangles. The surface area of a rectangular solid is the total area covered by its outer surface. In this article, we will learn about the surface area of a rectangular solid.</p>
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<h2>What is the Surface Area of a Rectangular Solid?</h2>
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<h2>What is the Surface Area of a Rectangular Solid?</h2>
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<p>The surface area of a rectangular solid is the total area occupied by the boundary or surface of the shape. It is measured in<a>square</a>units.</p>
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<p>The surface area of a rectangular solid is the total area occupied by the boundary or surface of the shape. It is measured in<a>square</a>units.</p>
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<p>A rectangular solid is a 3D shape that has length, width, and height. Each of its faces is a rectangle, and it has six faces in total.</p>
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<p>A rectangular solid is a 3D shape that has length, width, and height. Each of its faces is a rectangle, and it has six faces in total.</p>
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<p>To find the surface area, you calculate the area of each face and then<a>sum</a>them up. A rectangular solid can also be referred to as a box.</p>
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<p>To find the surface area, you calculate the area of each face and then<a>sum</a>them up. A rectangular solid can also be referred to as a box.</p>
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<h2>Surface Area of a Rectangular Solid Formula</h2>
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<h2>Surface Area of a Rectangular Solid Formula</h2>
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<p>A rectangular solid has six rectangular faces, and its surface area includes the area of each of these faces. Look at the rectangular solid below to see its surface area, length (l), width (w), and height (h).</p>
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<p>A rectangular solid has six rectangular faces, and its surface area includes the area of each of these faces. Look at the rectangular solid below to see its surface area, length (l), width (w), and height (h).</p>
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<p>A rectangular solid has six faces with the following<a>formula</a>for the surface area:</p>
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<p>A rectangular solid has six faces with the following<a>formula</a>for the surface area:</p>
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<p>Surface Area = 2(lw + lh + wh) square units</p>
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<p>Surface Area = 2(lw + lh + wh) square units</p>
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<h2>Calculating the Surface Area of a Rectangular Solid</h2>
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<h2>Calculating the Surface Area of a Rectangular Solid</h2>
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<p>To calculate the surface area of a rectangular solid, we need to find the area of each of its six rectangular faces and sum them up. The formula for the surface area is:</p>
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<p>To calculate the surface area of a rectangular solid, we need to find the area of each of its six rectangular faces and sum them up. The formula for 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>Here, l is the length, w is the width, and h is the height of the rectangular solid.</p>
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<p>Here, l is the length, w is the width, and h is the height of the rectangular solid.</p>
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<h2>Example of Surface Area Calculation</h2>
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<h2>Example of Surface Area Calculation</h2>
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<p>Consider a rectangular solid with a length of 5 cm, a width of 3 cm, and a height of 4 cm.</p>
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<p>Consider a rectangular solid with a length of 5 cm, a width of 3 cm, and a height of 4 cm.</p>
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<p>To find the total surface area, we use the formula:</p>
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<p>To find the total surface area, we use the formula:</p>
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<p>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>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 Solid</h2>
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<h2>Volume of a Rectangular Solid</h2>
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<p>The volume of a rectangular solid shows how much space is inside it. It tells us the capacity of the solid or how much it can hold.</p>
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<p>The volume of a rectangular solid shows how much space is inside it. It tells us the capacity of the solid or how much it can hold.</p>
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<p>The volume can be found by using the formula: Volume = l × w × h (cubic units)</p>
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<p>The volume can be found by using the formula: Volume = l × w × h (cubic units)</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. Remember that surface area involves adding the areas of all the faces, while volume is the product of length, width, and height.</p>
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<p>Students sometimes confuse the formulas for surface area and volume. Remember that surface area involves adding the areas of all the faces, while volume is the product of length, width, and height.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given l = 7 cm, w = 4 cm, h = 3 cm. Use the formula: Surface Area = 2(lw + lh + wh) = 2(7 × 4 + 7 × 3 + 4 × 3) = 2(28 + 21 + 12) = 2 × 61 = 122 cm²</p>
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<p>Given l = 7 cm, w = 4 cm, h = 3 cm. Use the formula: Surface Area = 2(lw + lh + wh) = 2(7 × 4 + 7 × 3 + 4 × 3) = 2(28 + 21 + 12) = 2 × 61 = 122 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 solid with a length of 5 cm, width of 6 cm, and height of 2 cm.</p>
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<p>Find the surface area of a rectangular solid with a length of 5 cm, width of 6 cm, and height of 2 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 104 cm²</p>
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<p>Surface Area = 104 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(5 × 6 + 5 × 2 + 6 × 2) = 2(30 + 10 + 12) = 2 × 52 = 104 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + lh + wh) = 2(5 × 6 + 5 × 2 + 6 × 2) = 2(30 + 10 + 12) = 2 × 52 = 104 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 solid has a length of 8 cm, width of 5 cm, and height of 4 cm. Find the surface area.</p>
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<p>A rectangular solid has a length of 8 cm, width of 5 cm, and height of 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 = 184 cm²</p>
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<p>Surface Area = 184 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(8 × 5 + 8 × 4 + 5 × 4) = 2(40 + 32 + 20) = 2 × 92 = 184 cm²</p>
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<p>Use the formula: Surface Area = 2(lw + lh + wh) = 2(8 × 5 + 8 × 4 + 5 × 4) = 2(40 + 32 + 20) = 2 × 92 = 184 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 solid with a length of 6 cm, width of 3 cm, and height of 2 cm.</p>
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<p>Find the surface area of a rectangular solid with a length of 6 cm, width of 3 cm, and height of 2 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Surface Area = 72 cm²</p>
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<p>Surface Area = 72 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(6 × 3 + 6 × 2 + 3 × 2) = 2(18 + 12 + 6) = 2 × 36 = 72 cm²</p>
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<p>Surface Area = 2(lw + lh + wh) = 2(6 × 3 + 6 × 2 + 3 × 2) = 2(18 + 12 + 6) = 2 × 36 = 72 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 rectangular solid is 150 cm². If the length is 5 cm and the width is 3 cm, find the height.</p>
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<p>The surface area of a rectangular solid is 150 cm². If the length is 5 cm and the width is 3 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 = 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 rectangular solid, including all its rectangular faces.</h2>
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<h2>It is the total area that covers the outside of the rectangular solid, including all its rectangular faces.</h2>
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<h3>1.What is the formula for the surface area of a rectangular solid?</h3>
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<h3>1.What is the formula for the surface area of a rectangular solid?</h3>
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<p>The formula for the surface area is 2(lw + lh + wh), where l is the length, w is the width, and h is the height.</p>
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<p>The formula for the surface area is 2(lw + lh + wh), where l is the length, w is the width, and h is the height.</p>
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<h3>2.How do you calculate the volume of a rectangular solid?</h3>
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<h3>2.How do you calculate the volume of a rectangular solid?</h3>
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<p>The volume is calculated by multiplying the length, width, and height: Volume = l × w × h.</p>
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<p>The volume is calculated by multiplying the length, width, and height: Volume = l × w × h.</p>
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<h3>3.Are all faces of a rectangular solid the same size?</h3>
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<h3>3.Are all faces of a rectangular solid the same size?</h3>
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<p>No, the faces of a rectangular solid can have different sizes, but opposite faces are always the same size.</p>
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<p>No, the faces of a rectangular solid can have different sizes, but opposite faces are always the same size.</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 Rectangular Solid</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a Rectangular Solid</h2>
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<p>Students often make mistakes while calculating the surface area of a rectangular solid, 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 rectangular solid, 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>