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2 <p>Last updated on<strong>August 30, 2025</strong></p>

3 <p>A rectangular cube, also known as a rectangular prism, is a 3-dimensional shape with six rectangular faces. The surface area of a rectangular cube is the total area covered by its outer surfaces. This includes the areas of all six rectangular faces. In this article, we will learn about the surface area of a rectangular cube.</p>

4 <h2>What is the Surface Area of a Rectangular Cube?</h2>

5 <p>The surface area<a>of</a>a rectangular<a>cube</a>is the total area occupied by the boundary or surface of the cube. It is measured in<a>square</a>units.</p>

6 <p>A rectangular cube, or rectangular prism, has three pairs of opposite rectangular faces.</p>

7 <p>Each pair of faces has the same dimensions, making it a uniform shape.</p>

8 <p>The surface area of a rectangular cube includes the areas of all six faces.</p>

9 <h2>Surface Area of a Rectangular Cube Formula</h2>

10 <p>A rectangular cube has six faces, and its surface area is calculated by summing the areas of all the faces.</p>

11 <p>The<a>formula</a>for the surface area of a rectangular cube is given as:</p>

12 <p>Surface Area = 2(lw + lh + wh) square units</p>

13 <p>Here, l is the length, w is the width, and h is the height of the rectangular cube.</p>

14 <h2>Example Calculation</h2>

15 <p>To calculate the surface area of a rectangular cube, we use the formula:</p>

16 <p>Surface Area = 2(lw + lh + wh)</p>

17 <p>Assume a rectangular cube with length 5 cm, width 3 cm, and height 4 cm.</p>

18 <p>The surface area is: Surface Area = 2(5×3 + 5×4 + 3×4) = 2(15 + 20 + 12) = 2×47 = 94 cm²</p>

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21 <h2>Volume of a Rectangular Cube</h2>

20 <h2>Volume of a Rectangular Cube</h2>

22 <p>The volume of a rectangular cube shows how much space is inside it. It tells us the capacity or the amount it can hold.</p>

21 <p>The volume of a rectangular cube shows how much space is inside it. It tells us the capacity or the amount it can hold.</p>

23 <p>The volume of a rectangular cube is found by using the formula:</p>

22 <p>The volume of a rectangular cube is found by using the formula:</p>

24 <p>Volume = l×w×h cubic units</p>

23 <p>Volume = l×w×h cubic units</p>

25 <p>Where l is the length, w is the width, and h is the height of the cube.</p>

24 <p>Where l is the length, w is the width, and h is the height of the cube.</p>

26 <h2>Confusion between formulas for different shapes</h2>

25 <h2>Confusion between formulas for different shapes</h2>

27 <p>Students might confuse the formula for the surface area of a rectangular cube with formulas for other shapes like cylinders or spheres. Always remember the formula:</p>

26 <p>Students might confuse the formula for the surface area of a rectangular cube with formulas for other shapes like cylinders or spheres. Always remember the formula:</p>

28 <p>Surface Area = 2(lw + lh + wh).</p>

27 <p>Surface Area = 2(lw + lh + wh).</p>

29 <h3>Problem 1</h3>

28 <h3>Problem 1</h3>

30 <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>

29 <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>

31 <p>Okay, lets begin</p>

30 <p>Okay, lets begin</p>

32 <p>Find the volume of a rectangular cube with a length of 5 cm, width of 3 cm, and height of 2 cm.</p>

31 <p>Find the volume of a rectangular cube with a length of 5 cm, width of 3 cm, and height of 2 cm.</p>

33 <h3>Explanation</h3>

32 <h3>Explanation</h3>

34 <p>Volume = 30 cm³</p>

33 <p>Volume = 30 cm³</p>

35 <p>Well explained 👍</p>

34 <p>Well explained 👍</p>

36 <h3>Problem 2</h3>

35 <h3>Problem 2</h3>

37 <p>Use the formula: Volume = l×w×h = 5×3×2 = 30 cm³</p>

36 <p>Use the formula: Volume = l×w×h = 5×3×2 = 30 cm³</p>

38 <p>Okay, lets begin</p>

37 <p>Okay, lets begin</p>

39 <p>A rectangular cube has a surface area of 150 cm². If its length is 5 cm and width is 3 cm, find its height.</p>

38 <p>A rectangular cube has a surface area of 150 cm². If its length is 5 cm and width is 3 cm, find its height.</p>

40 <h3>Explanation</h3>

39 <h3>Explanation</h3>

41 <p>Height = 5 cm</p>

40 <p>Height = 5 cm</p>

42 <p>Well explained 👍</p>

41 <p>Well explained 👍</p>

43 <h2>It is the total area that covers the outside of the rectangular cube, including all six rectangular faces.</h2>

42 <h2>It is the total area that covers the outside of the rectangular cube, including all six rectangular faces.</h2>

44 <h3>1.How do you calculate the surface area of a rectangular cube?</h3>

43 <h3>1.How do you calculate the surface area of a rectangular cube?</h3>

45 <p>Use the formula: Surface Area = 2(lw + lh + wh), where l, w, and h are the dimensions of the cube.</p>

44 <p>Use the formula: Surface Area = 2(lw + lh + wh), where l, w, and h are the dimensions of the cube.</p>

46 <h3>2.What unit is surface area measured in?</h3>

45 <h3>2.What unit is surface area measured in?</h3>

47 <p>Surface area is always measured in square units like cm², m², or in².</p>

46 <p>Surface area is always measured in square units like cm², m², or in².</p>

48 <h3>3.What is the volume of a rectangular cube?</h3>

47 <h3>3.What is the volume of a rectangular cube?</h3>

49 <p>The volume is the amount of space inside the cube, calculated by the formula Volume = l×w×h.</p>

48 <p>The volume is the amount of space inside the cube, calculated by the formula Volume = l×w×h.</p>

50 <h3>4.Are all faces of a rectangular cube equal?</h3>

49 <h3>4.Are all faces of a rectangular cube equal?</h3>

51 <p>No, a rectangular cube has pairs of opposite faces that are equal, but not all six faces are necessarily equal unless it's a cube.</p>

50 <p>No, a rectangular cube has pairs of opposite faces that are equal, but not all six faces are necessarily equal unless it's a cube.</p>

52 <h2>Common Mistakes and How to Avoid Them in the Surface Area of a Rectangular Cube</h2>

51 <h2>Common Mistakes and How to Avoid Them in the Surface Area of a Rectangular Cube</h2>

53 <p>Students often make mistakes while calculating the surface area of a rectangular cube, which leads to wrong answers. Below are some common mistakes and ways to avoid them.</p>

52 <p>Students often make mistakes while calculating the surface area of a rectangular cube, which leads to wrong answers. Below are some common mistakes and ways to avoid them.</p>

54 <p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

53 <p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

55 <p>▶</p>

54 <p>▶</p>

56 <h2>Seyed Ali Fathima S</h2>

55 <h2>Seyed Ali Fathima S</h2>

57 <h3>About the Author</h3>

56 <h3>About the Author</h3>

58 <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>

57 <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>

59 <h3>Fun Fact</h3>

58 <h3>Fun Fact</h3>

60 <p>: She has songs for each table which helps her to remember the tables</p>

59 <p>: She has songs for each table which helps her to remember the tables</p>