MCQ on Surface Areas and Volumes | Class 10 Maths Chapter 12

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on Class 10 Mathematics Chapter 12. The name of the chapter is “Surface Areas and Volumes”. So, basically, this post contains 30 MCQs on Surface Areas and Volumes. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

The Chapter deals with the following topics:

Surface Area of the Combination of Solids
Volume of Combination of Solids etc.

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

MCQ on Surface Areas and Volumes | Class 10 Maths Chapter 12

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.

MCQ on Real Numbers | Class 10 Mathematics Chapter 1
MCQ on Polynomials | Class 10 Mathematics Chapter 2
MCQ on Pair of Linear Equations in Two Variables | Class 10 Mathematics Chapter 3
MCQ on Quadratic Equations | Class 10 Mathematics Chapter 4
MCQ on Arithmetic Progressions | Class 10 Mathematics Chapter 5
MCQ on Triangles | Class 10 Mathematics Chapter 6
MCQ on Coordinate Geometry | Class 10 Mathematics Chapter 7
MCQ on Introduction to Trigonometry | Class 10 Mathematics Chapter 8
MCQ on Some Applications of Trigonometry | Class 10 Mathematics Chapter 9
MCQ on Circles | Class 10 Mathematics Chapter 10
MCQ on Areas Related to Circles | Class 10 Mathematics Chapter 11
MCQ on Statistics | Class 10 Mathematics Chapter 13
MCQ on Probability | Class 10 Mathematics Chapter 14

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I hope these 30 Multiple-choice questions have helped you learn more about the Class 10 Mathematics Chapter 12 (Surface Areas and Volumes) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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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.

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

MCQ on Surface Areas and Volumes | Class 10 Maths Chapter 12

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

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

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

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

5. The volume of a cone is given by:

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

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

8. The volume of a sphere is given by:

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

10. The curved surface area of a cylinder is:

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

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

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

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

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

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

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

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

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

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?

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

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

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

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

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

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

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

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

29. What is the volume of a hemisphere?

30. The volume of a cube is given by:

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