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AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsFind the lateral surface and total surface area of a cuboid of length 80 cm, breadth 40 cm and height 20cm.AnswerVerified629.1k+ viewsHint: In this question the dimensions of the cuboid are given to us. We need to find the lateral surface area and total surface area of the cuboid. Use the basic formula for lateral surface and surface area of cuboid to get the answer.Complete step-by-step answer: As we see that the cuboid has 6 faces.And it is given that length (l) = 80 cm.Breadth (b) = 40 cmHeight (h) = 20 cm.Now we have to find the lateral surface area and total surface area of the cuboid.Lateral surface area - The sum of surface areas of all sides except the top and bottom face of solid is defined as the lateral surface area of a solid.So the lateral surface area (L.S.A) of the cuboid is = $2\left( {lh + bh} \right) = 2h\left( {l + b} \right)$ (see figure).So substitute the values in this equation we have,$ \Rightarrow L.S.A = 2\left( {20} \right)\left( {80 + 40} \right) = 40\left( {120} \right) = 4800$ $cm^2$.Total surface area (T.S.A) of the cuboid is the sum of surface areas of all sides.$ \Rightarrow T.S.A = 2\left( {lb + bh + hl} \right)$So substitute the values in this equation we have,$ \Rightarrow T.S.A = 2\left[ {\left( {80 \times 40} \right) + \left( {40 \times 20} \right) + \left( {20 \times 80} \right)} \right]$ Now simplify the above equation we have,$ \Rightarrow T.S.A = 2\left[ {3200 + 800 + 1600} \right] = 2\left( {5600} \right) = 11200$ $cm^2$.So, this is the required answer.Note: Whenever we face such types of problems the key concept is simply to have the basic understanding of the basic formula for lateral surface and total surface area of basic shapes like cuboid. This will always help you get on the right track to get the answer.Recently Updated PagesBasicity of sulphurous acid and sulphuric acid areMaster Class 10 English: Engaging Questions & Answers for SuccessMaster Class 10 Social Science: Engaging Questions & Answers for SuccessMaster Class 10 Computer Science: Engaging Questions & Answers for SuccessClass 10 Question and Answer - Your Ultimate Solutions GuideMaster Class 10 General Knowledge: Engaging Questions & Answers for SuccessBasicity of sulphurous acid and sulphuric acid areMaster Class 10 English: Engaging Questions & Answers for SuccessMaster Class 10 Social Science: Engaging Questions & Answers for SuccessMaster Class 10 Computer Science: Engaging Questions & Answers for SuccessClass 10 Question and Answer - Your Ultimate Solutions GuideMaster Class 10 General Knowledge: Engaging Questions & Answers for Success

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