Quantitative Aptitude - Volume & Surface Areas

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Question - 1

The  capacity of a tank of dimension (8 m \(\times \) 6 m \(\times \) 2.5 m ) is :

  • A 120 litres
  • B 1200 liters
  • C 12000 litres
  • D 120000 litres

Question - 2

Find the surface area of a 10 cm \(\times \)4 cm \(\times \) 3 cm brick

  • A 84 sq.cm
  • B 124 sq.cm
  • C 164 sq.cm
  • D 180sq.cm

Question - 3

A cistern 6 m long and 4m wide contain water up to a depth of 1 m 25 cm. the total area of the wet surface is :

  • A 49 m2
  • B 50  m2
  • C 53.5  m2
  • D 55  m2

Question - 4

A boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. The mass of man is :

  • A 12 kg
  • B 60 kg
  • C 72 kg
  • D 96 kg

Question - 5

The area of the base of a rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 cubic metres. The depth of water in the tank is :

  • A 3.5 m
  • B 4 m
  • C 5 m
  • D 6 m

Question - 6

Given that 1 cu. cm of marbles weights 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block is :

  • A 26.5 cm
  • B 32 cm
  • C 36 cm
  • D 37.5 cm

Question - 7

Half cubic metre of gold sheet is extended by hammering so as to cover an area of 1 hectare. The thickness of the sheet is :

  • A 0.0005 cm
  • B 0.005 cm
  • C .05 cm
  • D 0.5 cm

Question - 8

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is :

  • A 75 cu. m
  • B 750 cu. m
  • C 7500 cu. mk
  • D 75000 cu. m

Question - 9

The height of a wall in six times its width and the length of the wall is seven times its height. if volume of the wall be 16128 cu. m, its width is :

  • A 4 m
  • B 4.5 m
  • C 5 m
  • D 6 m

Question - 10

The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2 . The volume of the cubiod is :

  • A 24 cm3
  • B 48 cm3
  • C 64 cm3
  • D 120 cm3