NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.3 are the best study guide for you available online for free. These solutions are created by askIITians experts based on the latest CBSE exam pattern and guidelines. Chapter 13 of Class 10 Maths NCERT is about surface area and volume of solids. Exercise 13.3 focuses on questions based on the conversion of solids from one shape to another. Our NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.3 include step by step explanations on how to solve the exercise questions correctly and obtain full marks in the CBSE board examination.
Exercise 13.3 of NCERT Class 10 Maths Chapter 13 is about the conversion of one solid to another. To solve this exercise, you must have a clear idea about surface areas and volumes of a combination of solids like a combination of a hemisphere and a cone, a combination of a cylinder and a hemisphere, etc. This exercise includes 9 questions in word problem format where you have to read and identify whether you have to find the surface area or volume of the combination of solids.
Important points related to NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.3:
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Important formulae for NCERT Class 9 Maths Chapter 13 |
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3D Shape |
Total Surface Area (TSA) |
Curved Surface Area (CSA) |
Volume |
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Cube |
6a2 |
4a2, where a is the length of each side |
a3 |
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Cuboid |
2 (lb + bh + lh) |
2h (l + b), where l, b, and h are the length, breadth, and height of the cuboid |
l × b × h |
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Cone |
πr(r + l) |
πrl, where r is the radius and l is the slant height of the cone |
(1/3)πr2h |
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Cylinder |
2πr(h + r) |
2πrh, where r is the radius and h is the height of the cylinder |
πr2h |
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Sphere |
4πr2, where r is the radius of the sphere |
Not applicable |
(4/3)πr3 |
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Hemisphere |
2πr2, where r is the radius of the hemisphere |
πr2, where r is the radius of the hemisphere |
2/3πr3 |
Download Free NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.3
Exercise questions of NCERT Class 10 Maths Chapter 13 Ex 13.3 include the following:
Ex 13.3 Q1: In this question, you are given that a sphere is cast into the shape of a cylinder. You are given the radius of the sphere and the cylinder and you have to find the height of the cylinder.
Ex 13.3 Q2: In this question, you are given that three spheres of different radii are melted and a single sphere is formed. You are given the three radii and you have to find the radius of the resulting sphere.
Ex 13.3 Q3: In this question, you are given that earth is dug from a deep well and a cuboidal platform is formed from that earth. You have to find the height of that platform. Check our NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.3 to see how to solve this question correctly.
Ex 13.3 Q4: This question is similar to the third question of the exercise. However, the earth dug from the well is used to form a circular ring-shaped embankment. You have to find the height of the embankment.
Ex 13.3 Q5: In this question, you are given that a cylindrical container contains ice cream which is put in the shape of hemispheres over different cones. You have to find how many cones can be filled with ice cream. You are given the height and diameter of the cylindrical container and the height and diameter of different cones. This question is solved in two steps. Find what they are in our NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.3.
Ex 13.3 Q6: In this question, you have to find how many silver coins of the given dimensions can be formed out of a cuboid. This is a simple question but you must take care of the calculations.
Ex 13.3 Q7: In this question, you are given that sand from a cylindrical bucket is used to make a conical heap. You are given the height and radius of the bucket and the heap and you have to find the slant height of the conical heap. We have provided step by step NCERT Solution for this question.
Ex 13.3 Q8: You are given that water in a canal (cuboidal in shape) runs at a speed of 10 km/h. You have to find how much area it will irrigate in 30 minutes if 8 cm of standing water is needed. This is a little tricky question. If you are unable to solve it on your own, check out our NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.3.
Ex 13.3 Q9: This question is similar to the eighth question of the exercise. You are given that a canal is connected to a cylindrical tank and are given the dimensions of the canal and the pipe. You have to find how much tank will be filled if water runs at a speed of 3km/h.
Important features of NCERT Class 10 Maths Chapter 13 Ex 13.3 Solutions:
Exercise 13.3 of Surface Areas and Volumes Chapter of Class 10 Maths includes 9 questions based on finding the surface area and volume of the combination of solids.
Yes, you can find the updated extra questions, previous year questions, and practice worksheets related to surface areas and volumes chapter on the askIITians website.
Download our free NCERT Solutions for Class 10 Maths Chapter 13 or download the revision notes for the chapter to understand the topics of surface areas and volumes thoroughly.