Access the latest CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B. 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
Question. A cylindrical pencil sharpened at one edge is the combination of
(a) a cone and a cylinder
(b) frustum of a cone and a cylinder
(c) a hemisphere and a cylinder
(d) two cylinders
Answer : A
Question. A surahi is the combination of
(a) a sphere and a cylinder
(b) a hemisphere and a cylinder
(c) two hemispheres
(d) a cylinder and a cone
Answer : A
Question. In a right circular cone, the cross-section made by a plane parallel to the base is a
(a) Triangle
(b) Circle
(c) Square
(d) None of these
Answer : B
Question. If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
(a) 4πr2
(b) 3πr2
(c) 2πr2
(d) πr2
Answer : A
Assertion-Reason Type Questions
In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Question. Assertion (A): The number of coins 1.75 cm in diameter and 2 mm thick is formed from a melted cuboid 10 cm × 5.5 cm × 3.5 cm is 400.
Reason (R): Volume of a cylinder = πr2h cubic units and volume of cuboid = (l × b × h) cubic units.
Answer : A
Question. Assertion (A): Number of spherical balls that can be made out of a solid cube of 1ead whose edge is 44 cm, each ball being 4 cm in diameter is 2541.
Reason (R): Number of balls = Volume of one ball/Volume of lead
Answer : C
Answer the following.
Question. What is the capacity of cylindrical vessel with the hemispherical bottom portion raised upwards?
Answer : πr2/3 [3h - 2r]
Question. A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of two parts are equal, then what is the ratio of its radius and the slant height of the conical part?
Answer : 1 : 2
Case Study Based Questions
I. The Great Stupa at Sanchi is one of the oldest stone structures in India, and an important monument of Indian Architecture. It was originally commissioned by the emperor Ashoka in the 3rd century BCE. Its nucleus is a simple hemispherical brick structure built over the relics of the Buddha. It is a perfect example of combination of solid figures. A big hemispherical dome with a cuboidal structure mounted on it. (Take = 22/7)
Question. The volume of the hemispherical dome if the height of the dome is 21 m, is
(a) 19404 cu. m
(b) 2000 cu. m
(c) 15000 cu. m
(d) 19000 cu. m
Answer : A
Question. The formula to find the volume of sphere is
(a) (2/3)πr3
(b) (4/3)πr3
(c) 4 πr2
(d) 2 πr2
Answer : B
Question. The cloth required to cover the hemispherical dome if the radius of its base is 14 m is
(a) 1222 sq. m
(b) 1232 sq. m
(c) 1200 sq. m
(d) 1400 sq. m
Answer : B
Question. The total surface area of the combined figure, i.e. hemispherical dome with radius 14 m and cuboidal shaped top with dimensions 8 m × 6 m × 4 m is
(a) 1200 sq. m
(b) 1232 sq. m
(c) 1392 sq.m
(d) 1932 sq. m
Answer : C
Question. The volume of the cuboidal shaped top with dimensions mentioned in question 4, is
(a) 182.45 m3
(b) 282.45 m3
(c) 292 m3
(d) 192 m3
Answer : D
Please click on below link to download CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B
| CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |
| CBSE Class 10 Maths Probabilty Worksheet |
Important Practice Resources for Class 10 Mathematics
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.
You can download the teacher-verified PDF for CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B from StudiesToday.com. These practice sheets for Class 10 Mathematics are designed as per the latest CBSE academic session.
Yes, our CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 10.
Yes, we have provided detailed solutions for CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B to help Class 10 and follow the official CBSE marking scheme.
Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 10 students get more marks in CBSE exams.
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