Surface Area And Volume Class 10 NCERT Solution
NCERT solution for surface area and volume class 10 are provided here. These solutions are designed to assist students in understanding and solving problems related to the surface areas and volumes of 3D shapes, such as spheres, cylinders, cones, cuboids, and combinations of any two solids keeping in mind of latest syllabus of CBSE 2023-24. In addition to this, here students will get NCERT solutions from class 6 to 12 for science and maths. NCERT Class 10 solutions Maths chapter 13 Surface Areas and Volumes consist of 5 exercises with 38 questions which will make learning easier for the students.
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes In NCERT solutions for class 10 maths chapter 13 Surface Areas and Volumes, a detailed explanation to each and every question is given. Refer to the NCERT Class 10 Maths books and cover all the topics to score well in the exams. Also for ease students can downlaod NCERT class 10 maths chapter 13 pdf using the link given below. Each exercises of ch 13 Maths class 10 can be downloaded and use offline. Students can get the exercise wise solutions of surface area and volume Class 10 from the following links.
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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes PDF Free Download
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Surface Area And Volume Class 10 NCERT Solution - Important Formulae
Total Surface Area (TSA) - Total Surface Area, denoted as TSA signifies the entire expanse covered by an object's surface. This encompasses the collective area of all its external facets. Here are some prominent geometrical figures and their corresponding TSA formulas:
Cuboid: TSA = 2[(l x b) + (b x h) + (h x l)]
Cube: TSA = 6a2
Right Circular Cylinder: TSA = 2πr(h + r)
Right Circular Cone: TSA = πr(l + r)
Sphere: TSA = 4πr2
Right Pyramid: TSA = LSA (Lateral Surface Area) + Area of the base
Prism: TSA = LSA (Lateral Surface Area) × 2B (Area of the base)
Hemisphere: TSA = 3 × π × r2
Lateral/Curved Surface Area (LSA/CSA) - The concept of Curved Surface Area (CSA) or Lateral Surface Area (LSA) comes into focus, particularly in forms such as cylinders, cones, and pyramids. CSA represents the area of the curved component or sides excluding the top and bottom facets. LSA, on the other hand, pertains to the lateral area of various shapes. The following are some key examples of these surface area measures:
Cuboid: CSA = 2h(l + b)
Cube: CSA = 4a2
Right Circular Cylinder: CSA = 2πrh
Right Circular Cone: CSA = πrl
Right Pyramid: LSA = (1/2)× p × l
Prism: LSA = p × h
Hemisphere: LSA = 2 × π × r2
Volume - Volume emerges as a fundamental attribute, denoting the spatial extent occupied by an object or substance, quantified in cubic units. The following volume formulas unravel the essence of these geometric measurements:
Cuboid: Volume = lbh
Cube: Volume = a3
Right Circular Cylinder: Volume = πr2h
Right Circular Cone: Volume = (1/3)πr2h
Sphere: Volume = (4/3)πr3
Right Pyramid: Volume = (1/3) × Area of the base × h
Prism: Volume = B (Area of the base) × h
Hemisphere: Volume = (2/3)× (πr3)
Free download NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes PDF for CBSE Exam.
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes (Intext Questions and Exercise)
Chapter 13 class 10 maths NCERT solutions Excercise: 13.1
Q1 2 cubes each of volume 64 cm 3 are joined end to end. Find the surface area of the resulting cuboid.
Answer:
We are given that volume of the cube
Also, the volume of a cube is given by ( here is the edge of the cube)
Thus :
Now according to the question we have combined the two cubes that edge lengths of the formed cuboid are 4 cm, 4 cm, and 8 cm.
The surface area of a cuboid is :
or
or
or
Thus the area of the formed cuboid is 160 cm 2 .
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Key Features For Surface Area and Volume Class 10 Solutions
Board Exam Excellence: These ch 13 maths class 10 solutions are designed to help students excel in their class 10 board exams, providing comprehensive guidance and explanations.
Real-Life Application: Understanding the concepts of surface areas and volumes is crucial for practical scenarios. These ch 13 maths class 10 solutions enable students to calculate the dimensions of everyday objects like rectangular boxes and gas cylinders.
Versatile Usage: Students can apply the formulas and techniques learned from these ch 13 maths class 10 solutions to solve textbook questions, excel in exams, and tackle real-life problems effectively.
NCERT Solutions For Class 10 Maths - Chapter Wise
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How to use chapter 13 class 10 maths NCERT solutions?
- First of all, memorize the formulae to calculate curved surface area, total surface area and volumes of different shapes.
- In word problems, most of the students get confused in calculating curved surface area and total surface area. So after going through some examples of the textbook, you can take an idea to solve this confusion.
- After this, you should immediately move to the next step which is practice exercises. While practicing, if you have a doubt in any question, then you can refer to NCERT solutions for class 10 Maths Chapter 13 Surface Areas and Volumes.
Students must complete the NCERT Class 10 Maths syllabus as soon as possible.
NCERT Solutions of Class 10 - Subject Wise