Home » 30 MCQs on Class 10 Mathematics Chapter 12 | Surface Areas and Volumes

30 MCQs on Class 10 Mathematics Chapter 12 | Surface Areas and Volumes

By Abdur Rohman / July 13, 2024

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Chapter 12 of class 10 Mathematics as per the NCERT syllabus is Surface Areas and Volumes which deals with the Surface Area of the Combination of Solids, Volume of Combination of Solids, etc.

Here, we have discussed 30 Multiple Choice Questions based on these topics of the chapter. These questions will help you to learn more about the chapter and test your knowledge.

For each question below, there are four options out of which only one option is correct. After selecting your answer, click on the submit button to see the score and review your answers.

MCQ on Class 10 Maths Chapter 12 Surface Areas and Volumes

1. What is the formula for the surface area of a sphere?

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

2. What is the formula for the volume of a cylinder?

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

3. The surface area of a cone is given by:

A. \( \pi r l \) B. \( \pi r (r + l) \) C. \( 2 \pi r l \) D. \( \pi r^2 l \)

4. What is the total surface area of a hemisphere?

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

5. The volume of a cone is given by:

A. \( \pi r^2 h \) B. \( \frac{1}{2} \pi r^2 h \) C. \( \frac{2}{3} \pi r^2 h \) D. \( \frac{1}{3} \pi r^2 h \)

6. What is the formula for the volume of a cuboid?

A. \( l^2 h \) B. \( l \times b \times h \) C. \( l \times b^2 \times h \) D. \( l \times b \)

7. To find the volume of a combination of solids, you:

A. Subtract the volumes B. Add the volumes C. Multiply the volumes D. Divide the volumes

8. The volume of a sphere is given by:

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

9. What is the surface area of a cuboid with dimensions \( l \), \( b \), and \( h \)?

A. \( 2(lb + bh + hl) \) B. \( 2(lh + b^2) \) C. \( 2(l^2 + bh) \) D. \( lbh \)

10. The curved surface area of a cylinder is:

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

11. How do you calculate the surface area of a toy rocket made of a cone mounted on a cylinder?

A. Add the surface areas of the cone and cylinder B. Subtract the surface area of the cone from the cylinder C. Multiply the surface areas of the cone and cylinder D. Divide the surface areas of the cone and cylinder

12. The formula for the surface area of a cube is:

A. \( 4a^2 \) B. \( 2a^2 \) C. \( 6a^2 \) D. \( a^3 \)

13. How do you find the volume of a bird-bath in the shape of a cylinder with a hemispherical depression?

A. Add the volumes of the cylinder and hemisphere B. Subtract the volume of the hemisphere from the cylinder C. Subtract the volume of the cylinder from the hemisphere D. Multiply the volumes of the cylinder and hemisphere

14. What is the total surface area of a hollow cylinder with an inner radius \( r_1 \) and outer radius \( r_2 \)?

A. \( 2 \pi (r_1 + r_2) h \) B. \( \pi (r_1^2 + r_2^2) h \) C. \( \pi (r_1 + r_2)^2 h \) D. \( \pi r_1 r_2 h \)

15. How do you calculate the volume of a wooden article made by scooping out hemispheres from a cylinder?

A. Add the volumes of the cylinder and hemispheres B. Subtract the volumes of the hemispheres from the cylinder C. Multiply the volumes of the cylinder and hemispheres D. Divide the volumes of the cylinder by the hemispheres

16. What is the formula for the volume of a hemisphere?

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

17. To find the surface area of a tent in the shape of a cylinder surmounted by a cone, you:

A. Subtract the surface areas B. Multiply the surface areas C. Add the surface areas D. Divide the surface areas

18. What is the surface area of a hemisphere with radius \( r \)?

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

19. The formula for the volume of a cube is:

A. \( a^2 \) B. \( a^3 \) C. \( a^4 \) D. \( 6a^2 \)

20. What is the volume of a juice glass with a hemispherical raised portion at the bottom, given the radius \( r \) and height \( h \) of the cylindrical part?

A. \( \pi r^2 (h + \frac{2}{3} r) \) B. \( \pi r^2 (h + r) \) C. \( \pi r^2 (h – r) \) D. \( \pi r^2 (h – \frac{2}{3} r) \)

21. How do you calculate the surface area of a decorative block made of a cube and hemisphere?

A. Add the surface areas of the cube and hemisphere B. Subtract the surface area of the hemisphere from the cube C. Multiply the surface areas of the cube and hemisphere D. Divide the surface areas of the cube and hemisphere

22. The volume of a shed in the shape of a cuboid surmounted by a half cylinder is given by:

A. \( \pi r^2 l \) B. \( l \times b \times h + \frac{1}{2} \pi r^2 l \) C. \( l \times b \times h \) D. \( \frac{1}{2} \pi r^2 l \)

23. How do you calculate the volume of a hollowed-out solid cylinder with a conical cavity?

A. Add the volumes of the cylinder and cone B. Subtract the volume of the cylinder from the cone C. Subtract the volume of the cone from the cylinder D. Multiply the volumes of the cylinder and cone

24. The curved surface area of a cone is given by:

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

25. What is the formula for the surface area of a sphere?

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

26. The total surface area of a cylinder is given by:

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

27. How do you calculate the volume of a solid hemisphere?

A. Add the volumes of a sphere and a hemisphere B. Subtract the volume of a hemisphere from a sphere C. Multiply the volume of a sphere by half D. Divide the volume of a sphere by half

28. The formula for the surface area of a cylinder is:

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

29. What is the volume of a hemisphere?

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

30. The volume of a cube is given by:

A. \( 4a^2 \) B. \( 2a^3 \) C. \( a^3 \) D. \( 6a^2 \)

Review Your Answers Above.

The Bottom Line

I hope these 30 MCQs on Surface Areas and Volumes of Class 10 Maths Chapter 12 have helped you in your studies and preparation.

If you have any queries, or comments or find any mistake in the above questions, feel free to contact me in the comment section below.

I would love to hear from you.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.