Class 10 Math Surface Areas and Volumes MCQ Test: Strengthen your understanding with free online multiple-choice questions for CBSE Class 10 Math Chapter 12. Master the calculations of surface areas and volumes of various 3D shapes. Ideal for CBSE exam preparation and competitive tests.

## Surface Areas and Volumes MCQ Test Quiz

**10th Math MCQ Chapters for Quiz**

You can not only check your knowledge about for “Class 10 Surface Areas and Volumes MCQ Test” but also all remaining chapters multiple choice questions.

Chapter 1 Real Numbers Multiple Choice Question Test

Chapter 2 Polynomials Multiple Choice Question Test

Chapter 3 Pair of Linear Equations in Two Variables Multiple Choice Question Test

Chapter 4 Quadratic Equations Multiple Choice Question Test

Chapter 5 Arithmetic Progressions Multiple Choice Question Test

Chapter 6 Triangles Multiple Choice Question Test

Chapter 7 Coordinate Geometry Multiple Choice Question Test

Chapter 8 Introduction to Trigonometry Multiple Choice Question Test

Chapter 9 Some Applications of Trigonometry Multiple Choice Question Test

Chapter 10 Circles Multiple Choice Question Test

Chapter 11 Areas Related to Circles Multiple Choice Question Test

Chapter 12 Surface Areas and Volumes Multiple Choice Question Test

Chapter 13 Statistics Multiple Choice Question Test

Chapter 14 Probability Multiple Choice Question Test

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### About Surface Areas and Volumes

Chapter 12 of the CBSE Class 10 Math curriculum, titled “Surface Areas and Volumes,” covers the key concepts related to calculating surface areas and volumes of different three-dimensional shapes. This chapter is essential for understanding geometric properties and solving real-life problems involving solids. The free MCQ quiz provided in this chapter will help students solidify their understanding and prepare effectively for their CBSE examinations.

**Key Concepts Covered:**

**Surface Area of Solids:****Cube:****Surface Area:**The surface area

AA$A$ of a cube with side length aa

$a$ is given by: A=6a2A = 6a^2

$A=6a_{2}$

**Cuboid:****Surface Area:**The surface area

AA$A$ of a cuboid with length ll

$l$, width ww

$w$, and height hh

$h$ is given by: A=2(lw+lh+wh)A = 2(lw + lh + wh)

$A=2(lw+lh+wh)$

**Sphere:****Surface Area:**The surface area

AA$A$ of a sphere with radius rr

$r$ is given by: A=4πr2A = 4 \pi r^2

$A=4πr_{2}$

**Right Circular Cylinder:****Surface Area:**The surface area

AA$A$ of a right circular cylinder with radius rr

$r$ and height hh

$h$ is given by: A=2πr(r+h)A = 2 \pi r (r + h)

$A=2πr(r+h)$

**Volume of Solids:****Cube:****Volume:**The volume

VV$V$ of a cube with side length aa

$a$ is given by: V=a3V = a^3

$V=a_{3}$

**Cuboid:****Volume:**The volume

VV$V$ of a cuboid with length ll

$l$, width ww

$w$, and height hh

$h$ is given by: V=l×w×hV = l \times w \times h

$V=l×w×h$

**Sphere:****Volume:**The volume

VV$V$ of a sphere with radius rr

$r$ is given by: V=43πr3V = \frac{4}{3} \pi r^3

$V=34 πr_{3}$

**Right Circular Cylinder:****Volume:**The volume

VV$V$ of a right circular cylinder with radius rr

$r$ and height hh

$h$ is given by: V=πr2hV = \pi r^2 h

$V=πr_{2}h$

**Cone:****Surface Area:**The surface area

AA$A$ of a cone with radius rr

$r$ and slant height ll

$l$ is given by: A=πr(r+l)A = \pi r (r + l)

$A=πr(r+l)$

**Volume:**The volume

VV$V$ of a cone with radius rr

$r$ and height hh

$h$ is given by: V=13πr2hV = \frac{1}{3} \pi r^2 h

$V=31 πr_{2}h$

**Frustum of a Cone:****Surface Area:**The surface area

AA$A$ of a frustum of a cone with radii r1r_1

$r_{1}$ and r2r_2

$r_{2}$, slant height ll

$l$, and height hh

$h$ is: A=π(r1+r2)l+π(r12+r22)A = \pi (r_1 + r_2) l + \pi (r_1^2 + r_2^2)

$A=π(r_{1}+r_{2})l+π(r_{1}+r_{2})$

**Volume:**The volume

VV$V$ of a frustum of a cone is: V=13πh(r12+r22+r1r2)V = \frac{1}{3} \pi h (r_1^2 + r_2^2 + r_1 r_2)

$V=31 πh(r_{1}+r_{2}+r_{1}r_{2})$

**Applications in Real Life:****Example 1:**Calculate the surface area of a cylindrical water tank with radius 4 meters and height 10 meters.**Solution:**Use

A=2πr(r+h)A = 2 \pi r (r + h)$A=2πr(r+h)$.

**Example 2:**Find the volume of a sphere with a radius of 7 cm.**Solution:**Use

V=43πr3V = \frac{4}{3} \pi r^3$V=34 πr_{3}$.

**Composite Solids:****Calculation:**Use combinations of surface area and volume formulas to find the measurements for complex, composite solids that include more than one shape.

**Quiz Structure:**

The MCQ quiz for this chapter includes a series of questions designed to test students’ understanding of surface areas and volumes of various three-dimensional shapes. Questions cover formulas, problem-solving techniques, and real-life applications. The interactive format allows students to practice and assess their knowledge effectively.

**Conclusion:**

Practicing with the Class 10 Math Surface Areas and Volumes MCQ Test Chapter 12 is an excellent way for CBSE students to reinforce their understanding of geometric properties related to solids. This chapter provides a comprehensive overview of surface areas and volumes for different shapes, including cubes, cuboids, spheres, cylinders, and cones. The MCQ quiz helps ensure students are well-prepared for their academic assessments and competitive exams.