**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

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