温馨提示：本站仅提供公开网络链接索引服务，不存储、不篡改任何第三方内容，所有内容版权归原作者所有
AI智能索引来源：http://www.edu.com/math-glossary/Cuboid-Definition-Examples
点击访问原文链接

Cuboid – Definition, Examples | EDU.COM

进入原网站 导航首页
Cuboid – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">CuboidCuboid – Definition, ExamplesTable of ContentsUnderstanding Cuboids in Mathematics Definition of Cuboid

A cuboid is a three-dimensional geometric shape that has length, width, and height as its dimensions. It is bounded by six rectangular faces, making it a hexahedron (a six-faced solid). All the angles formed at the vertices of a cuboid are right angles. A cuboid is also known as a rectangular prism, and a cube is a special type of cuboid where the length, width, and height are all equal.

A cuboid has 8 vertices (corner points), 12 edges, and 6 rectangular faces. The faces of a cuboid consist of 4 lateral faces and 2 identical faces at the top and bottom. Opposite faces are parallel to each other, and opposite edges are equal and parallel as well. According to Euler's formula for convex polyhedra (F + V = E + 2), we can verify this relationship: 6 faces + 8 vertices = 12 edges + 2.

Examples of Cuboid Calculations Example 1: Finding the Lateral Surface Area of a Cuboid Problem:

Calculate the lateral surface area of a cuboid of dimensions 11 cm × 5 cm × 4 cm.

Finding the Lateral Surface Area of a Cuboid

Step-by-step solution:

Step 1, Identify the dimensions of the cuboid. In this case, length (l) = 11 cm, width (w) = 5 cm, and height (h) = 4 cm.

Step 2, Recall the formula for lateral surface area (LSA) of a cuboid. The lateral surface area includes all faces except the top and bottom faces:

LSA = 2h (l + w) square units

Step 3, Substitute the values into the formula:

LSA = 2 × 4 (11 + 5) cm2^22

Step 4, Calculate step by step:

LSA = 8 × 16 cm2^22 LSA = 128 cm2^22

Therefore, the lateral surface area of the cuboid is 128 cm2^22.

Example 2: Calculating the Total Surface Area of a Cuboid Problem:

Find the total surface area (TSA) of a cuboid with length 12 in, width 6 in, and height 10 in.

Calculating the Total Surface Area of a Cuboid

Step-by-step solution:

Step 1, Identify the dimensions of the cuboid. Length (l) = 12 in, width (w) = 6 in, and height (h) = 10 in.

Step 2, Recall the formula for total surface area (TSA) of a cuboid, which includes all six faces:

TSA = 2 (lw + wh + lh) square units

Step 3, Substitute the values into the formula:

TSA = 2 [(12 × 6) + (6 × 10) + (12 × 10)] in2^22

Step 4, Calculate each part inside the parentheses:

TSA = 2 (72 + 60 + 120) in2^22

Step 5, Add the values inside the brackets:

TSA = 2 × 252 in2^22

Step 6, Multiply by 2:

TSA = 504 in2^22

Therefore, the total surface area of the cuboid is 504 in2^22.

Example 3: Finding the Volume of a Rectangular Prism Problem:

Find out the volume of a rectangular prism with base length 9 inches, base width 6 inches, and height 18 inches, respectively.

Finding the Volume of a Rectangular Prism

Step-by-step solution:

Step 1, Understand that a rectangular prism is another name for a cuboid, so we'll use the cuboid volume formula.

Step 2, Note the dimensions of the rectangular prism: Length (l) = 9 inches, Width (w) = 6 inches, and Height (h) = 18 inches.

Step 3, Recall the formula for the volume of a cuboid:

Volume = l × w × h

Step 4, Substitute the values into the formula:

Volume = 9 × 6 × 18 cubic inches

Step 5, Multiply the values:

Volume = 54 × 18 cubic inches Volume = 972 cubic inches

Therefore, the volume of the rectangular prism is 972 cubic inches.

Comments(7)AAppDeveloperYuriNovember 6, 2025I've used this cuboid def for my kid's study. Clear & helpful! Examples made calculating area & volume a breeze.

CCricketFollowerVioletNovember 5, 2025I've used this cuboid def to teach my students. It's clear & the examples helped them grasp the concepts quickly. Thanks!

MCMs. CarterSeptember 17, 2025I’ve used the cuboid examples here to help my kids understand geometry better. The clear definitions and practical calculations made it so easy to explain concepts like volume and surface area!

NNatureLover85September 10, 2025I used the cuboid examples from this page to help my kids with their math homework, and it really clicked for them! The clear definitions and step-by-step explanations made a big difference.

NNatureLover92August 27, 2025I’ve been using this page to help my kids understand 3D shapes, and the cuboid examples were super clear! It’s great for explaining surface area and volume in a simple way. Thanks for making math easier!

svg]:px-3 dk:w-auto h-10 dk:h-14 rounded-lg dk:rounded-[15px] px-5 dk:px-7.5 text-sm dk:text-xl text-[#3467FF] bg-white hover:bg-white">Load MoreExplore More TermsNext ToPerpendicular Bisector of A ChordSubtracting IntegersMultiplying FractionsLine PlotArea and PerimeterView All Math TermsRecommended Interactive LessonsDivide by 93Math3.OA.C.7Divide by 103Math3.OA.C.7Find the value of each digit in a four-digit number3Math3.NBT.AMultiply by 53Math3.OA.C.7Divide by 73Math3.OA.C.7Write Multiplication and Division Fact Families3Math3.OA.A.4, 3.OA.B.6View All Interactive LessonsRecommended VideosCompare Two-Digit Numbers1Math1.NBT.B.3Combine and Take Apart 2D Shapes1Math1.G.A.2The Commutative Property of Multiplication3Math3.OA.B.5Use models and the standard algorithm to divide two-digit numbers by one-digit numbers4Math4.NBT.B.6Parallel and Perpendicular Lines4Math4.G.A.1Understand The Coordinate Plane and Plot Points5Math5.G.A.1View All VideosRecommended WorksheetsDescribe Positions Using In Front of and BehindKMathK.G.A.1Count by Ones and Tens1Math1.NBT.A.1Write three-digit numbers in three different forms2Math2.NBT.A.3Understand Thousands And Model Four-Digit Numbers3Math3.NBT.AFind Angle Measures by Adding and Subtracting4Math4.MD.C.7Use Equations to Solve Word Problems6Math6.EE.B.7View All WorksheetsRecommended Coloring PagesKayak with a paddle resting across it on a beachPre-K – KAll SubjectsLow pressure system with a cloud and a small wind vane1 – 2All SubjectsPrincess sitting with tea set under a tree in a scenic park3 – 4All SubjectsHarmonica on a table with musical notes floating in the air3 – 4All SubjectsKentrosaurus interacting with a smaller dinosaur3 – 4All SubjectsTwo jellyfish under the moonlight with detailed ocean plants and a seahorse5 – 6All SubjectsView All Coloring PagesRecommended BlogsSmart Standardized Test Prep: Evidence-Based Strategies for K–6 SuccessNovember 8, 2025Making General Chemistry Less Scary for K-6 StudentsOctober 14, 2025Help Your K-6 Student Learn Spanish FasterOctober 11, 2025How to Become Bilingual: A Guide for K-6 FamiliesOctober 9, 2025Understanding the ACT Reading Test: A Guide for K-6 EducatorsOctober 7, 2025Building AI Literacy Skills for Young LearnersOctober 7, 2025View All Blog PostsQUICK LINKSAbout UsPrivacy PolicyTerms of ServiceTOOLSHomework HelperGuide DesignerPodcast MakerPlan BuilderRESOURCESMath GlossaryEnglish GlossaryEnglish Language ArtsMathematicsScienceBook InsightsFun with WordsBlog© 2025 EDU.COM. All rights reserved.

智能索引记录