Volume and Surface Area : Aptitude Questions and Answers

Q11. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

A. 4830

B. 8960

C. 5120

D. 6420

SHOW ANSWER
Correct Answer : 5120


Q12. If the areas of the three adjacent faces of a cuboidal box are 120 sq cm , 72 sq cm and 60 sq cm respectively , then find the volume of the box.

A. 864

B. 720

C. 6500

D. 7200

SHOW ANSWER
Correct Answer : 7200


Q13. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A. 1200

B. 1800

C. 900

D. 720

SHOW ANSWER
Correct Answer : 1200


Q14. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

A. 1 m

B. 10 cm

C. 90 cm

D. 1.1 m

SHOW ANSWER
Correct Answer : 10 cm


Q15. How many cubes of 10 cm edge can be put in a cubical box of 1 m edge ?

A. 1000

B. 10000

C. 10000

D. 10

SHOW ANSWER
Correct Answer : 1000


Q16. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm ?

A. 7200

B. 6000

C. 6400

D. 5600

SHOW ANSWER
Correct Answer : 6400


Q17. If a metallic cuboid weighs 16kg,how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original ?

A. 0.50 kg

B. 1 kg

C. 0.25 kg

D. 0.75 kg

SHOW ANSWER
Correct Answer : 0.25 kg


Q18. 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. 27 : 20

D. 25 : 18

SHOW ANSWER
Correct Answer : 25 : 18


Q19. How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge ?

A. 432

B. 216

C. 218

D. 36

SHOW ANSWER
Correct Answer : 216


Q20. The height of the wall is 6 times its width and length of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is:

A. 4 m

B. 6 m

C. 4.5 m

D. 5 m

SHOW ANSWER
Correct Answer : 4 m


error: