Volume & Surface Area Questions and Answers

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Q11
Given that 1 cu.cm of marble weighs 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 36 cm
  • B 37.5 cm
  • C 32 cm
  • D 26.5 cm
Answer: Option C
Q12
The volume of a wall, 5times as high as it is broad and 8 times as long as it is high, is 12.8 cu.metres. The breadth of the wall is :
  • A 30 m
  • B 40 m
  • C 22.5 m
  • D 25 m
Answer: Option B
Q13
Half cubic metre of glodsheet is extended by hammering so as to cover an area of 1 hectare. The thickness of the sheet is:
  • A 0.5 cm
  • B 0.05cm
  • C 0.005 cm
  • D .0005 cm
Answer: Option C
Q14
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.m
  • D 75000 cu.m
Answer: Option B
Q15
A river 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km per hour. The amount of water that runs into the sea per minute (in cubic metres) is :
  • A 3150
  • B 31500
  • C 6300
  • D 63000
Answer: Option A
Q16
An open box is made of wood 3 cm thick. Its external dimensions are 1.46m, 1.16 m and 8.3 dm. The cost of painting the inner surface of the box at 50 paise per 100 sq.cm is :
  • A Rs. 277
  • B Rs. 138.50
  • C Rs 415.50
  • D Rs. 554
Answer: Option A
Q17
The dimensions of an open box are 50 cm and 23 cm. its thickness is 3 cm. If 1 cubic cm of metal used in the box weights 0.5 gms, the weight of the box is :                                                                                                                                                              
  • A 8.56 kg
  • B 8.04 kg
  • C 7.576 kg
  • D 6.832 kg
Answer: Option B
Q18
How many bags of grain can be storedin a cuboid granary 12 m x 6 m x 5 m, If each bag occupies a space of 0.48 cu. metre ?
  • A 75
  • B 750
  • C 480
  • D 288
Answer: Option B
Q19
The number of small cubes with edge 10cm that can be accomodated in a cubical box of 1 metre edge, is :
  • A 10
  • B 100
  • C 1000
  • D 10000
Answer: Option C
Q20
The total surface area of a cuboid is 63200 sq.cm and its length, breadth and height are in the ratio of 8: 5 : 3. The length, breadth and heght of the cuboid are respectively :
  • A 12 cm, 75 cm, 45 cm
  • B 128 cm, 80 cm, 48 cm
  • C 160 cm, 100 cm, 60 cm
  • D 144 cm, 90 cm, 54 m
Answer: Option C
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