Volume and Surface Area Aptitude MCQ Questions with Answers

Question - How many cubes of 3cm edge can be cut out of a cube of 18cm edge ?
a) 36
b) 232 
c) 216
d) 484

Answer : C

Question - A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube ?
a) 2 : 1
b) 3 : 2 
c) 25 : 18
d) 27 : 20

Answer : C

Question - If each edge of a cube is increased by 50%, find the percentage increase in Its surface area ?
a) 125%
b) 150%
c) 175%
d) 110%

Answer : A

Question - If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area ?
a) 41%
b) 38%
c) 33%
d) 44% 

Answer : B

Question - A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is ?
a) Rs. 456
b) Rs. 458
c) Rs. 558
d) Rs. 568

Answer : C

Question - If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume ?
a) 33.5%
b) 33.1%
c) 32.1%
d) 53.1%

Answer : B

Question - The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is ?
a) 4m
b) 5m
c) 6m
d) 7m

Answer : A

Question - What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm ?
a) 344.35 sq.cm
b) 462 sq.cm
c) 498.35 sq.cm
d) None of these

Answer : C

Question - Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high ?
a) 14m
b) 15m
c) 16m
d) 17m

Answer : D

Question - Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed ?
a) 486
b) 586 
c) 686 
d) 786

Answer : A

Question - A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is ?
a) 49
b) 50 
c) 53.5 
d) 55

Answer : A