Volume and Surface Area Questions with Answers

Q :  

By increasing the radius of a sphere by 50 percent, how much will the area of its surface increase?

(A) 100%

(B) 125 %

(C) 150%

(D) None of these

Q :  

A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path?

(A) 159 m²

(B) 155 m²

(C) 187 m²

(D) 183 m²

(E) None of the Above

Q :  

Smallest side of a right angled triangle is 13 cm less than the side of a square of perimeter 72 cm. Second largest side of the right angled triangle is 2 cm less than the length of the rectangle of area 112 cm² and breadth 8 cm. What is the largest side of the right angled triangle?

(A) 20 cm

(B) 12 cm

(C) 10 cm

(D) 13 cm

(E) None of these

Q :  

A polygon has 14 sides then find out No. of diagonals in that polygon. 

(A) 75

(B) 76

(C) 77

(D) 80

Q :  

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

(A) $$ { 24 π cm^2}$$

(B) $$ { 25 π cm^2}$$

(C) $$ { 28 π cm^2}$$

(D) $$ { 20 π cm^2}$$

(E) None of these

Q :  

The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use √2 = 1.414) 

(A) 313.296 m

(B) 353.296 m

(C) 373.296 m

(D) 393.296 m

Q :  

The volume of a cube is $$ 512{cm}^{3}$$. Its surface area (in sq cm) is 

(A) 284

(B) 384

(C) 484

(D) 576

Q :  

The wooden box measure 20 cm by 12 cm by 10 cm. Thickness of wood is 1 cm. The volume of wood to make the box (in cubic cm) is 

(A) 960

(B) 519

(C) 2400

(D) 1.120

Q :  

A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights $$ 8 g/cm^3 $$, then the weight of the pipe ($$ π= {22\over7}$$) is. 

(A) 3.696 kg

(B) 3.6 kg

(C) 36 kg

(D) 36.9 kg

Q :  

The height of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cube m, its width is 

(A) 5m

(B) 4m

(C) 4.5m

(D) 6m

Volume and Surface Area Questions with Answers

Q.1 A copper wire having 0.20 cm as the radius of its circular section is one meter long. It is melted and spherical balls of radius 0.20 cm are made. The number of balls that can be made is……

(A) 300

(B) 375

(C) 275

(D) 350

Analogy - Reasoning Questions: analogies logical mcq questions

Q.2 The altitude of a circular cylinder is increased six times and the base area is decreased to one-ninth of its value. The factor by which the lateral surface of the cylinder increases is….

(A) ½ m

(B) 2/3 m

(C) 3/2 m

(D) 2 m

Q.3 A circular pipe is to be so designed that water flowing through it at a velocity of 4 meters per minutes is collected at its open end of 11 cubic meters per minute. What should be the inner radius of the pipe?

(A) ½ m

(B) 1/Ö2 m

(C) Ö2 m

(D) 2 m

Q.4 The radii of the bases of a cylinder and a cone are in the ratio 3: 4. If height of the cylinder and cone are in the ratio 2: 3, then their volumes are in the ratio….

(A) 9: 8

(B) 8: 9

(C) 3: 4

(D) 4: 3

Q.5 If three solid gold spherical beads of radii 3 cm, 4 cm, and 5 cm respectively are melted into one spherical bead, then its radius in cm is……

(A) 5

(B) 4

(C) 7

(D) 6

Q.6 If the lateral surface of a cylinder is developed in a square whose diagonal is Ö2 cm long, then the volume of the cylinder in cubic centimeters is…….

(A) 1/4 π

(B) 2/ π

(C) 3 π/4

(D) 2 π

Q.7 If the diameter of the base circle of a cone is equal to 54 cm and the generator is 13 cm, then the area of the axial section will be.

(A) 240 cm²

(B) 120 cm²

(C) 60 cm²

(D) 32.5 cm²

Q.8 A plane is drawn parallel to the base of a right circular cone dividing the altitude in the ratio of 2: 1 to chop off the conical part. The chopped off conical part is taller than the remaining portion. The ratio of the volumes of the chopped off part and the remaining part is….

(A) 1: 26

(B) 2: 25

(C) 4: 23

(D) 8: 19

Q.9 If area of the diagonal section of a cube is equal to 4Ö2 cm², then edge of the cube is….

(A) 4 cm

(B) 3 cm

(C) 2Ö2 cm

(D) 2 cm

Q.10 If length, breadth and height of a rectangular solid are 10 cm, 5 cm, and 2 cm respectively, then its whole surface area in sq. cms. is….

(A) 7

(B) 70

(C) 160

(D) 280

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