CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set D

Access the latest CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set D. We have provided free printable Class 10 Mathematics worksheets in PDF format, specifically designed for Chapter 12 Surface Area and Volume. These practice sets are prepared by expert teachers following the 2025-26 syllabus and exam patterns issued by CBSE, NCERT, and KVS.

Chapter 12 Surface Area and Volume Mathematics Practice Worksheet for Class 10

Students should use these Class 10 Mathematics chapter-wise worksheets for daily practice to improve their conceptual understanding. This detailed test papers include important questions and solutions for Chapter 12 Surface Area and Volume, to help you prepare for school tests and final examination. Regular practice of these Class 10 Mathematics questions will help improve your problem-solving speed and exam accuracy for the 2026 session.

Download Class 10 Mathematics Chapter 12 Surface Area and Volume Worksheet PDF

 

SURFACE AREAS AND VOLUMES
 
SECTION A: 
 
1. If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5cm and height 6 cm, then how much water flows out of the cylindrical cup?
 
→ (38.8 cm3)
 
2. Two cones have their heights in the ratio 1 : 3and radii 3:1. What is the ratio of their volumes?
 
→ (3 : 1)
 
3. Volumes of two spheres are in the ratio 64:27. Find the ratio of their surface areas. (16 : 9)
 
SECTION B: 
 
4. A rectangular sheet of paper of dimensions 44cm X 18cm is rolled along its length and a cylinder is formed. Find the volume of the cylinder so formed.
 
(2772cm3)
 
5. What is the volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm?
 
→  (19.4 cm3)
 
6. A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm up to its brim. How many children will get the ice cream cones?
 
→  (363)
 
SECTION C: 
 
7. A bucket is in the form of a frustum of a cone and holds 28.490 litres of water. The radii of the top and bottom are 28 cm and 21 cm, respectively. Find the height of the bucket.
 
→  (15 cm)
 
8. An ice cream cone full of ice cream having radius 5 cm and height 10 cm as shown in the Fig. Calculate the volume of ice cream. (π = 3.14)
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set D
 
→  (392.5 cm3)
 
9. If a wire is bent into the shape of a square, then the area enclosed by the square is 81cm2. When the same wire is bent into a semi-circular shape, find the area enclosed by the semi-circle.
 
→  (77cm2)
 
10. 15 glass spheres each of radius 2 cm are packed into a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and then the box is filled with water. Find the volume of water filled in the box. (π = 3.14)
 
→ (521.6 cm3)
 
SECTION D:
 
11. Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm?
 
→ (2 hours)
 
12. The circumference of the base of a conical tent is 44m. If the height of tent is 24m, find the length of the canvas used in making the tent, if the width of the canvas is 2m.
 
→ (275 m)
 
13. The height of the Cone is 30 cm A small cone is cut off at the top by a plane parallel to its base if its volume be 1/27th of the volume of the given cone at what height above the base is the section cut?
 
→ (20 cm)
 
14. A hollow cone is cut by a plane parallel to the base and the upper portion is removed. If the curved surface of the remainder is 8/9th of the curved surface of the whole cone, find the ratio of the line segments into which the cone’s altitude is divided by the plane.
 
→ (1:2)
 
15. A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (π = 3.14)
 
→ (3768cu.cm,
1318.8sq.cm)

 

Please click on below link to download CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set D

Chapter 12 Surface Area and Volume CBSE Class 10 Mathematics Worksheet

Students can use the Chapter 12 Surface Area and Volume practice sheet provided above to prepare for their upcoming school tests. This solved questions and answers follow the latest CBSE syllabus for Class 10 Mathematics. You can easily download the PDF format and solve these questions every day to improve your marks. Our expert teachers have made these from the most important topics that are always asked in your exams to help you get more marks in exams.

NCERT Based Questions and Solutions for Chapter 12 Surface Area and Volume

Our expert team has used the official NCERT book for Class 10 Mathematics to create this practice material for students. After solving the questions our teachers have also suggested to study the NCERT solutions  which will help you to understand the best way to solve problems in Mathematics. You can get all this study material for free on studiestoday.com.

Extra Practice for Mathematics

To get the best results in Class 10, students should try the Mathematics MCQ Test for this chapter. We have also provided printable assignments for Class 10 Mathematics on our website. Regular practice will help you feel more confident and get higher marks in CBSE examinations.

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