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NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1 Surface Areas and Volumes in Hindi and English Medium updated for session 2024-25. Get here the explanation of ex. 12.1 class 10 Maths in the format of PDF, Videos and Images.
Class 10 Maths Exercise 12.1 Solutions
Class 10 Maths Exercise 12.1 in Hindi Medium
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Class 10 Maths Chapter 12 Solutions
Class 10 Maths NCERT Solutions
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Class 10 Maths Exercise 12.1 focuses on solving problems related to the surface areas of combined solids. To prepare for this, you should first review the formulas for the surface areas of basic shapes such as cubes, hemispheres, cylinders and cones. Start by practicing how to decompose complex shapes into simpler ones and apply the formulas for each part. Solving example problems from the textbook is crucial to understanding how different shapes interact when combined. Additionally, ensure you understand how to calculate curved surface areas separately and then sum them to find the total surface area of the combined shapes. Work on problems that involve real-life objects to strengthen your application of these concepts.
In your revision, focus on identifying which surface areas are visible and need to be calculated. For instance, if two solids are joined at their bases, the area where they are connected is not part of the total surface area. Pay attention to such details while solving questions. Go through past exam questions and solve similar problems that involve different combinations of solids. Keep a list of formulas handy and practice step-by-step problem solving, ensuring that you don’t skip any essential calculation steps.
Class 10 Maths Exercise 12.1 Questions in Detail
- 2 cubes each of volume 64 cm³ are joined end to end. Find the surface area of the resulting cuboid.
- A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
- A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
- A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.
- A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
- A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
- A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of ₹500 per m².
- From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm³.
- A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.
NCERT Solutions for Class 10 Maths Exercise 12.1 in English and Hindi
Class 10 Mathematics Ex. 12.1 Surface Areas and Volumes (mensuration) in Hindi Medium as well as English Medium updated for new academic year 2024-25 following latest NCERT Books. These Solutions and Offline Apps are applicable for all boards (CBSE, MP Board, Uttar Pradesh Board, Bihar Board, Uttarakhand) who are using NCERT Books 2024-25 as a Textbook for exams. NCERT Solutions 2024-25and Offline Apps have been updated as per the latest CBSE Syllabus 2024-25.
| Class: 10 | Maths |
| Contents: | Surface Areas and Volumes Solutions |
| Chapter 12: | Exercise 12.1 |
| Content Type: | Videos, Images and PDF File |
| Medium: | English and Hindi Medium |
10 Maths Chapter 12 Exercise 12.1 Solutions
NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1 Surface Areas and Volumes in English Medium free to use online or download as PDF to use offline updated for new academic session 2024-25. Visit back to Class 10 Maths Chapter 12 main page to see all exercises and Hindi Medium or View in Video Format Solutions, if you want to see the solutions in videos.
About 10 Maths Exercise 12.1
In Exercise 12.1 Questions are based on Surface areas related to Cubes, Cuboids, Cones, Cylinders, etc. The solid figures are the combination of two or more figures. The surface area of the solid figures depends on the part which are visible. Exercise 12.1 is based on the Chapter 12 of class 9 Maths. All the questions in this exercise are direct applications of Mensuration. To find the surface area of joined figures, you should first need to draw a rough sketch to identify the portion which are visible and to decide which are is to be calculated.
Feedback and Suggestions
If it is given to find Total Surface Area (TSA) of a solid, we must recognize, the visible part of the solid to calculate the TSA. Do not apply directly the formula of TSA in case of solid figure (combination of two or more figure). We have modified all the solutions for academic session 2024-25, if still there is any error, please inform us to further modification. Your feedback is important tool for this website’s improvement.
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Which questions are known as important for exams in exercise 12.1 class 10 mathematics?
In exercise 12.1 of class 10 math, there are nine questions and four examples (examples 1, 2, 3, 4). All questions and examples of this exercise are equally important from the exam point of view. These are important because these questions have asked in the board exam several times.
Which examples are the easiest one in class 10 Maths exercise 12.1
Questions 1, 2, 3, 6 and examples 1, 4 of exercise 12.1 class 10 Maths are the easiest compared to other questions of this exercise. Also, Questions 1, 2, 3, 6 and examples 1, 4 are the favourite questions of students because these questions are easy to understand, and students do these questions without any difficulty.
What are the main topic to study in exercise 12.1 of Maths 10th?
In exercise 12.1 of class 10 math, students will study how to determine the surface area of an object formed by combining any two of the basic solids, namely, cuboid, cone, cylinder, sphere and hemisphere.
What amount of time is required to complete exercise 12.1 of 10th Maths?
Students need a maximum of four days to complete exercise 12.1 (chapter 12) of class 10th Maths if they give 1-2 hours per day to this exercise. This time also depends on student’s speed, efficiency, capability and many other factors.
