Class 10 Maths Chapter 12 Surface Areas and Volumes MCQs Quiz

Are you finding Chapter 12, ‘Surface Areas and Volumes,’ a bit challenging due to its numerous formulas and 3D shapes? Are questions about the combination of solids or conversion from one shape to another worrying you? Your solution is here! We present the Class 10 Maths Chapter 12 Surface Areas and Volumes MCQs Quiz. This free online test will help you practice all the important concepts and make your preparation more effective. Let’s strengthen your board exam preparation with this comprehensive Surface Areas and Volumes quiz!

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Surface Areas and Volumes MCQs Quiz

Click the Start button to begin the quiz and attempt all questions within the given time. Read each MCQ carefully, select the correct option, and move forward to complete the quiz. Your score will appear at the end to help you check your preparation level..

Q1: What is the formula for the curved surface area of a hemisphere?

A: \( \pi r^2 \)
B: \( 2\pi r^2 \)
C: \( 4\pi r^2 \)
D: \( 3\pi r^2 \)

Explanation: The curved surface area of a hemisphere is \( 2\pi r^2 \).

Q2: What is the figure formed by joining two cubes along their faces called?

A: Cone
B: Sphere
C: Cuboid
D: Cylinder

Explanation: Joining two equal cubes results in a cuboid shape.

Q3: What is the correct formula to find the curved surface area of a cylinder?

A: \( \pi r^2 h \)
B: \( 2\pi r h \)
C: \( \pi r^2 \)
D: \( 2\pi r^2 \)

Explanation: The curved surface area of a cylinder is \( 2\pi r h \).

Q4: What will be the total surface area of a solid formed by a cone mounted on a hemisphere?

A: CSA of cone + CSA of hemisphere
B: TSA of cone + TSA of hemisphere
C: CSA of cone + TSA of hemisphere
D: CSA of cylinder + CSA of cone

Explanation: The joined bases are hidden, only the outer curved surfaces are added.

Q5: What is the volume of a sphere with radius \( r \)?

A: \( \pi r^2 \)
B: \( 2\pi r^3 \)
C: \( \frac{4}{3}\pi r^3 \)
D: \( \pi r^3 \)

Explanation: The volume of a sphere is \( \frac{4}{3}\pi r^3 \).

Q6: What is the relation between the slant height \( l \), height \( h \), and radius \( r \) of a cone?

A: \( l = h + r \)
B: \( l^2 = h^2 + r^2 \)
C: \( l = h^2 + r^2 \)
D: \( l = hr \)

Explanation: In a cone, a right-angled triangle is formed where \( l^2 = h^2 + r^2 \).

Q7: What will be the diameter of a hemisphere with radius \( r \)?

A: \( r \)
B: \( 2r \)
C: \( 3r \)
D: \( r^2 \)

Explanation: Diameter is always twice the radius, \( 2r \).

Q8: What will be the maximum diameter of a hemisphere that can be placed on a cube with side \( a \)?

A: \( \frac{a}{2} \)
B: \( 2a \)
C: \( a \)
D: \( a^2 \)

Explanation: The hemisphere cannot exceed the cube’s boundary, so the maximum diameter is \( a \).

Q9: What fraction of the volume of a cylinder with the same radius and height is the volume of a cone?

A: Half
B: One-third
C: One-fourth
D: Double

Explanation: Volume of cone is \( \frac{1}{3}\pi r^2 h \) and cylinder is \( \pi r^2 h \).

Q10: What is the total surface area of a hemisphere?

A: \( 2\pi r^2 \)
B: \( \pi r^2 \)
C: \( 3\pi r^2 \)
D: \( 4\pi r^2 \)

Explanation: Curved surface \( 2\pi r^2 \) plus base \( \pi r^2 \) gives \( 3\pi r^2 \).

Q11: What will be the total length of a medicine capsule?

A: Length of cylinder + one radius
B: Length of cylinder + radii of both hemispheres
C: Only the length of the cylinder
D: Length of cylinder − two radii

Explanation: Total length includes the cylinder and the radii of both hemispheres.

Q12: If the value of \( \pi \) is not given, what is taken in calculations?

A: \( 3 \)
B: \( \frac{22}{7} \)
C: \( 3.5 \)
D: \( \frac{7}{22} \)

Explanation: Generally, \( \pi = \frac{22}{7} \) is taken.

Q13: What is the area of the base of a right circular cylinder?

A: \( 2\pi r h \)
B: \( \pi r^2 \)
C: \( 2\pi r^2 \)
D: \( \pi r h \)

Explanation: The base of a cylinder is a circle, area \( \pi r^2 \).

Q14: What does not change when a solid is melted and converted into another solid?

A: Surface area
B: Volume
C: Shape
D: Height

Explanation: During solid transformation, the volume remains the same.

Q15: What is the curved surface area of a cone with radius \( r \) and height \( h \)?

A: \( \pi r^2 \)
B: \( \pi r l \)
C: \( 2\pi r h \)
D: \( 4\pi r^2 \)

Explanation: The curved surface area of a cone is \( \pi r l \).

Quiz Results

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Class 10 Maths Chapter 12 Surface Areas and Volumes MCQs Quiz

Chapter 12, ‘Surface Areas and Volumes,’ deals with the study of three-dimensional shapes. In this chapter, you will learn and apply the formulas for the Surface Area and Volume of basic shapes like cubes, cuboids, cylinders, cones, and spheres. The chapter also covers important topics like finding the surface area and volume of a Combination of Solids (e.g., a cone on top of a cylinder) and problems involving the Conversion of Solid from one shape to another (e.g., melting a solid to form a new shape). These topics are very important for the CBSE Class 10 Maths Quiz and board exams.

Conclusion

Scoring well in ‘Surface Areas and Volumes’ requires knowing the correct formulas and applying them accurately. Our Class 10 Maths Chapter 12 Surface Areas and Volumes MCQs Quiz is designed to help you master this skill. This quiz gives you repeated practice on important topics like the Combination of Solids and the Conversion of Solid, helping you improve your speed and accuracy. By solving these objective questions, you can assess your preparation and gain the confidence to score full marks in this chapter. Try this Free Online Maths Quiz for Class 10 now!

FAQs on Surface Areas and Volumes MCQs Quiz

1. Question: How many marks from the chapter Surface Areas and Volumes are asked in the board exam?
Answer: This chapter typically carries 7-8 marks in the CBSE board exam, including MCQs, short answer, and long answer questions.

2. Question: What are the most important topics in this chapter?
Answer: The most important topics are the Combination of Solids, the Conversion of Solid, and problems related to the Frustum of a Cone.

3. Question: Is this Surface Areas and Volumes quiz based on the NCERT syllabus?
Answer: Yes, our Surface Areas and Volumes Class 10 quiz is fully based on the NCERT curriculum and the CBSE syllabus.

4. Question: What are the formulas for the total surface area and volume of a sphere?
Answer: The total surface area of a sphere is 4πr², and its volume is (4/3)πr³, where ‘r’ is the radius.

5. Question: What is meant by the ‘combination of solids’?
Answer: It refers to a solid shape formed by combining two or more basic geometric shapes, like a hemisphere placed on top of a cuboid.

6. Question: Does this quiz include questions on the frustum of a cone?
Answer: Yes, this Surface Areas and Volumes Online Test includes MCQs on the important topic of the Frustum of a Cone.

7. Question: Is this online quiz free?
Answer: Yes, this Free Online Maths Quiz for Class 10 is absolutely free. You can take it anytime and anywhere for practice.

8. Question: How should I prepare this chapter for the board exam?
Answer: First, memorize all the formulas for basic shapes. Then, focus on solving problems related to combinations and conversions of solids from the NCERT book. Finally, test your knowledge with our quiz.

9. Question: What is the difference between total surface area (TSA) and curved surface area (CSA)?
Answer: CSA is the area of the curved part of a solid, while TSA includes the curved part plus the area of the base(s).

10. Question: What is the benefit of taking this online quiz?
Answer: This quiz helps you improve time management, check the accuracy of your formulas, and understand the exam pattern, which boosts your confidence and leads to better performance.

Master Class 10 Maths Chapter 12 Surface Areas and Volumes with our free MCQs Quiz. This online test covers key formulas for cubes, cylinders, cones, and spheres, including combinations of solids. Perfect for CBSE board exam preparation. Practice now!

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Surface Areas and Volumes MCQs Quiz

Quiz Results

Class 10 Maths Chapter 12 Surface Areas and Volumes MCQs Quiz

Conclusion

FAQs on Surface Areas and Volumes MCQs Quiz

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