Surface Areas and Volume – Aptitude Questions and Answers | Online Surface Areas and Volume MCQ Aptitude Test
| Quiz Name | Surface Areas and Volume |
| Category | Online Aptitude Test |
| Number of Questions | 20 |
| Time | 30 Minutes |
| Exam Type | MCQ (Multiple Choice Questions) |
1. To make a cone, spin a right triangle with sides of 3 cm, 4 cm, and 5 cm by 3 cm. The volume of the resulting cone is:
a. 12 cm3
b. 15 cm3
c. 16 cm3
d. 20 cm3
2. Five centimetres of rain fall during a shower. The amount of water that falls on 1.5 hectares of land is calculated as follows:
a. 75 cu. m
b. 750 cu. m
c. 7500 cu. m
d. 75000 cu. m
3. A hall is 15 metres long and 12 metres wide. The volume of the hall is: if the total of the areas of the floor and ceiling equals the sum of the areas of the four walls.
a. 720
b. 900
c. 1200
d. 1800
4. A wire with a diameter of 1 mm is produced from 66 cubic centimetres of silver. The wire’s length in metres will be:
a. 84
b. 90
c. 168
d. 336
5. A hollow iron pipe with an exterior diameter of 8 cm is 21 cm long. The weight of a pipe with a thickness of 1 cm and an iron density of 8 g/cm3 is:
a. 3.6 kg
b. 3.696 kg
c. 36 kg
d. 36.9 kg
6. On a lake, a boat with a length of 3 metres and a width of 2 metres is floating. When a guy climbs on board, the boat sinks by 1 cm. The man’s bulk consists of:
a. 12 kg
b. 60 kg
c. 72 kg
d. 96 kg
7. On a religious day, 50 guys took a dip in a 40-meter-long, 20-meter-wide water tank. If a man’s average water displacement is 4 m3, the rise in the water level in the tank will be:
a. 20 cm
b. 25 cm
c. 35 cm
d. 50 cm
8. A right circular cone has a slant height of 10 m and a height of 8 m. Calculate the surface area of its curved surface.
a. 30 m2
b. 40 m2
c. 60 m2
d. 80 m2
9. A 6 m long by 4 m broad cistern holds water to a depth of 1 m 25 cm. The wet surface’s entire area is:
a. 49 m2
b. 50 m2
c. 53.5 m2
d. 55 m2
10. A rectangular metallic sheet with dimensions of 48 m x 36 m is used. To produce an open box, a square is sliced off from each of its corners. If the square’s length is 8 m, the box’s volume (in m3) is:
a. 4830
b. 5120
c. 6420
d. 8960
11. A cylindrical pillar has a curved surface area of 264 m2 and a volume of 924 m3. Calculate the diameter to height ratio.
a. 3 : 7
b. 7 : 3
c. 6 : 7
d. 7 : 6
12. An 8000-litre cistern with exterior dimensions of 3.3 m by 2.6 m by 1.1 m and 5 cm thick walls. The bottom is of the following thickness:
a. 90 cm
b. 1 dm
c. 1 m
d. 1.1 cm
13. What is the total surface area of a right circular cone with a base radius of 7 cm and a height of 14 cm?
a. 344.35 cm2
b. 462 cm2
c. 498.35 cm2
d. None of these
14. From the material produced by melting three smaller cubes with sides of 3, 4, and 5 cm, a big cube is generated. What is the ratio of the smaller cubes’ total surface areas to the giant cube’s total surface area?
a. 2 : 1
b. 3 : 2
c. 25 : 18
d. 27 : 20
15. How many 25 cm x 11.25 cm x 6 cm bricks will be required to construct an 8 m × 6 m x 22.5 cm wall?
a. 5600
b. 6000
c. 6400
d. 7200
16. The volume of a 32-meter-high cylindrical tank is what?
I. Its base covers an area of 154 m2.
II. The base has a 14-meter diameter.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are not sufficient to answer
17. Is a rectangular block considered a cube?
I. The rectangular block has at least two square faces.
II. The block has a volume of 64.
a. I alone sufficient while II alone not sufficient to answer
b.II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are not sufficient to answer
18. What is a cylindrical tank’s capacity?
I. The base’s radius is half of its height, which is 28 metres.
II. The base has a surface area of 616 square metres and a height of 28 metres.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are not sufficient to answer
19. What is a circular cone’s height?
I. That cone’s area is the same as a 33-cm-long rectangle.
II. That cone’s base measures 154 square centimetres.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are not sufficient to answer
20. How big is a cube’s volume?
I. Each face of the cube has a surface area of 64 square metres.
II. One of the cube’s sides is 8 metres long.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are not sufficient to answer