Students can refer to the following MCQ Questions for Class 10 Surface Area and Volume with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here collection of multiple choice questions for Surface Area and Volume Class 10 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

**Class 10 Surface Area and Volume MCQs Questions with Answers**

We have provided below MCQs questions for Class 10 Surface Area and Volume with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Surface Area and Volume MCQs in Class 10 pdf download can be really scoring for students, you should go through all problems and MCQ Questions for Class 10 Maths provided below so that you are able to get more marks in your exams.

**MCQ Questions for Class 10 Surface Area and Volume**

**Question. The volume of a cube is numerically equal to its surface area. What is the length of its side?**

(a) 6 units

(b) 8 units

(c) 9 units

(d) 10 units

**Answer**

A

**Question.****A solid sphere and a solid hemisphere have the same total surface area. Find the ratio of their volumes.**

(a) √3 :1

(b) 3√3 :5

(c) 3√3 : 4

(d) 1: √3

## **Answer**

C

**Question.****A cone and a hemisphere have equal bases and equal volumes. Identify the ratio of their heights.**

(a) 1 : 3

(b) 1 : 2

(c) 2 : 1

(d) 3 : 1

## **Answer**

C

**Question.****The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of diameter 0.2 cm. What is the length of the wire?**

(a) 36cm

(b) 360cm

(c) 3600 cm

(d) 306 cm

## **Answer**

C

**Question.** A hemispherical bowl is made of steel of**0.25 cm thickness. The inner radius of the** **bowl is 5 cm. What is the volume of steel** **used?**

(a) 42.15 cm^{3}

(b) 41.52 cm^{3}

(c) 41.25cm^{3}

(d) 43.21cm^{3}

## **Answer**

C

**Question.****If the radii of the circular ends of a conical bucket of height 45 cm are 28 cm and 7 cm, what is the capacity of the bucket?**

(a) 48150cm^{3}

(b) 48510cm^{3}

(c) 48105cm^{3}

(d) 48015cm^{3}

## **Answer**

B

**Question.**** A cylindrical vessel contains 49.896 litres of liquid. The cost of painting its curved surface area at 2 paise/sq cm is ` 95.04. Find its total surface area.**

(a) 5724 cm^{2}

(b) 7524 cm^{2}

(c) 5742 cm^{2}

(d) 7254 cm^{2}

**Answer**

B

**Question.****A piece of metal pipe is 77 cm long with inside diameter of the cross section as 4 cm. If the outer diameter is 4.5 cm and the metal weighs 8 gm/cu cm, find the weight of pipe.**

(a) 2.057 kg

(b) 20.57 kg

(c) 205.7 kg

(d) 2.097 kg

## **Answer**

A

**Question.****Two right circular cones X and Y are made such that X has a radius three times the radius of Y and Y has a volume half the volume of X. What is the ratio of heights of**

X and Y?

(a) 5 : 8

(b) 4 : 7

(c) 2 : 9

(d) 3 : 5

## **Answer**

C

**Question.** If the radius of the base of a right circular cylinder is halved, keeping the height same, find the ratio of the volume of the reduced cylinder to that of the original cylinder.

(a) 1 : 4

(b) 2 : 3

(c) 1 : 2

(d) 5 : 7

## **Answer**

A

**Question.** A sphere, of diameter 12 cm, is dropped into a right circular cylindrical vessel, partly filled with water. If the sphere is completely immersed in water, the water level in the cylindrical vessel rises by 3(5/9) cm. Find the diameter of the cylindrical vessel.

(a) 16cm

(b) 18cm

(c) 12cm

(d) 13cm

## **Answer**

B

**Question.** The largest possible cube is made from a wooden sphere of radius 6√3cm cm. Find the surface area of the cube.

(a) 864cm^{2}

(b) 542cm^{2}

(c) 735cm^{2}

(d) 625cm^{2}

## **Answer**

A

**Question.** The internal and external radii of a hemispherical metallic vessel are 7 cm and 10.5 cm respectively. If 3 1 cm of the metal weighs 10 g, find the weight of the vessel.

(a) 25.15 kg

(b) 32.1 kg

(c) 17.07 kg

(d) 16.27 kg

## **Answer**

C

**Question.** What is the maximum distance between any two points of a cube of side T units?

(a) (√2 +1) l units

(b) √2 l units

(c) √3 l units

(d) √2 l units

## **Answer**

C

**Question.****A cuboidal metal of dimensions 44 cm X 30 cm X 15 cm was melted and cast into a cylinder of height 28 cm. Find its radius.**

(a) 20cm

(b) 15cm

(c) 10cm

(d) 18cm

## **Answer**

B

**Question. A cylindrical vessel contains 49.896 litres of liquid. The cost of painting its curved surface area at paise/sq cm2 is ₹ 95.04. Find its total surface area. **

(a) 5724 cm^{2}

(b) 7524 cm^{2}

(c) 5742 cm^{2}

(d) 7254 cm^{2}

**Answer**

B

**Question. A cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, what** **is the rise in the level of water? **

(a) 0.8 cm

(b) 0.5 cm

(c) 0.1 cm

(d) 0.3 cm

**Answer**

B

**Question. A cuboidal metal of dimensions 44 cmx30 cm x15 cm was melted and cast into a cylinder of height 28 cm. Find its radius. **

(a) 20cm

(b) 15cm

(c) 10cm

(d) 18cm

**Answer**

B

**Question. A circus tent is in the form of a cone over a cylinder. The diameter of the base is 9 m, the height of cylindrical part is 4.8 m and the total height of the tent is 10.8m. What area of canvas is required for the tent? **

(a) 24.184 sq. m

(b) 2418.4 sq. m

(c) 241.84sq.rn

(d) 24.164 sq. m

**Answer**

C

**Question. The total surface area of a cylinder is 220 sq cm with height 6.5 cm. Find its volume. **

(a) 25.025 cm^{3}

(b) 2.5025 cm^{3}

(c) 2502.5 cm^{3}

(d) 250.25 cm^{3}

**Answer**

D

**Question. Rain water from a roof 22 m x 20 m drains into a cylindrical vessel with diameter of base 2 m and height 3.5 m. If the vessel is just full, find the amount of rainfall in cm. **

(a) 4.5 cm

(b) 2.5 cm

(c) 3 cm

(d) 1 cm

**Answer**

B

**Question. A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone. **

(a) 14 cm

(b) 12 cm

(c) 16 cm

(d) 18 cm

**Answer**

A

**Question. A cylindrical can whose base is horizontal and of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed in the can, water just covers the sphere. Given that the sphere just fits in the can, find the depth of water in the can before the sphere was put into it. **

(a) 2.3 cm

(b) 5.1 cm

(c) 1.5 cm

(d) 3.2 cm

**Answer**

A

**Question. Identify the ratio of lateral surface areas of two cylinders with equal heights. **

(a) H: h

(b) R: r

(c) 1: 2

(d) 2 : 3

**Answer**

B

**Question. A rectangular solid metallic cuboid 9 cm x^{8} cm x^{2} cm is melted and recast into solid cubes each of side 2 cm. How many such solid cubes can be made? **

(a) 20

(b) 18

(c) 12

(d) 15

**Answer**

B

**One Word Questions :**

**Question. Five equal cubes, each of side 6cm, are joined end to end. Find the surface area of the resulting cuboid.**

**Answer**

792m^{2}

**Question. There are two cones. The lateral surface area of one cone is twice the lateral surface area of second cone. The slant height of second cone is twice the slant height of first cone, find the ratio of their radii.**

**Answer**

4 : 1

**Question. If volume of a solid sphere is 288π cm3 , find its radius.**

**Answer**

6cm

**Question. Volume of a cube is 1000cm3 . What will be the length of its edge?**

**Answer**

10cm

**Question. What will be the volume of tank whose length is 10m, breadth 8m and height 6m?**

**Answer**

480m^{3}

**Question. A cone of height 4cm and radius 8cm is reshaped by a child to form a sphere. Find the radius of the sphere.**

**Answer**

4cm

**Question. The length of a diagonal of a cube is 17.32cm. Find the volume of cube. (use √3 =1.732 )**

**Answer**

1000cm^{3}

**Question. If the volumes of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5 , what would be the ratio of their heights?**

**Answer**

25 : 64

**Question. How much aluminium sheet is required to make a box with lid of length 3m, breadth 2m and height 4m?**

**Answer**

52m^{2}

**Question. An underground water tank is in the form of cube of side 6m. What will be its volume?**

**Answer**

216m^{3}

**Question. The volume of a 8cm x 4cm x 2cm cylinderical rod is 980 cm3 . If its height is 20cm, find the radius of its cross section.**

**Answer**

7cm

**Question. A largest sphere is carved out of a cube of side 7cm; find the radius.**

**Answer**

3.5cm

**Question. Curved surface area of cylinder is 16 cm². Its radius is 4cm, then find its height.**

**Answer**

2cm

**Question. The Circumference of the circular edge of solid hemispherical ball is 132cm. Find the radius of ball.**

**Answer**

21cm

**Question. Find the slant height of a cone, if height 12cm and radius is 5cm.**

**Answer**

13cm

**Question. What will be the area of four walls of a room of length 12m, breadth 10m and height 9m?**

**Answer**

396m^{2}

**Question. Three cubes of the same metal, whose edges are 6, 8, 10cm are melted and formed into a single cube. Find the diagonal of the single cube.**

**Answer**

12 √3cm

**Question. 500 persons took dip in a rectangular tank which is 80m long and 50m broad. What is the rise in level of water in the tank if the average displacement of water by a person is 0.04m ^{3} ?**

**Answer**

0.5cm or .005m

**Question. If the radius and height of a cylinder are in the ratio 2 : 7 and its volume is 88m ^{3} , then what will be its radius?**

**Answer**

2m

**Question. 50 circular plates each of equal radius are placed one over the other to form a cylinder. Find the height of the cylinder so formed, thickness of each plate is 1/2cm.**

**Answer**

25cm

**Question. Find the volume of cone of height 2h and radius r.**

**Answer**

2/3 r^{2}h

**Question. If a sphere of diameter 12cm is melted and drawn into a wire of diameter 0.2cm, find the length of the wire.**

**Answer**

288m

**Question. The volume of cube is 8a3 , find its edge.**

**Answer**

2a

**Question. The volume of a room is 5760m3 . Its length and width are 24m and 20m, find the height.**

**Answer**

12m

**Question. A right cylindrical vessel is full of water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water?**

**Answer**

3