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16+ Volume and Surface Questions for CAT with SOLUTIONS

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Volume and Surface Questions for the CAT are part of the DILR section in the CAT exam. The difficulty level of these questions ranges from moderate to high.

What are some CAT-level Volume & Surface Practice Questions?

Q 1. A cuboid has .......... edges. 
(a) 4 
(b) 8
(c) 12 
(d) 16

Answer: C

Q 2. 1 litre is equal to
(a) 1 cu. cm 
(b) 10 cu. cm
(c) 100 cu. cm 
(d) 1000 cu. cm

Answer: D

Q 3.  A rectangular water tank is 8 m high, 6 m long and 2.5 m wide. How many litres of water can it hold? 
(a) 120 litres 
(b) 1200 litres
(c) 12000 litres 
(d) 120000 litres

Answer: D

Q 4. The dimensions of a cuboid are 7cm, 11 cm and 13 cm. The total surface area is 
(a) 311 cm
(b) 622 cm2
(c) 1001 cm
(d) 2002 cm2

Answer: B

What are the must-do Volume & Surface questions for the CAT exam?

Q 5. A closed aquarium of dimensions 30 cm × 25 cm × 20 cm is made up entirely of glass plates held together with tapes. The total length of tape required to hold the plates together (ignore the overlapping tapes) is 
(a) 75 cm 
(b) 120 cm
(c) 150 cm 
(d) 300 cm

Answer: D

Q 6. The dimensions of a room are 15 m, 10 m and 8 m. The volume of a bag is 2.25 m3. The maximum number of bags that can be a accommodated in the room is 
(a) 531 
(b) 533
(c) 535 
(d) 550

Answer: B

Q 7. A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and breadth of the reservoir is 3.5 m, then the depth of the reservoir will be 
(a) 2 m 
(b) 5 m
(c) 6 m 
(d) 8 m

Answer: A

Q 8. A cistern 6 m long and 4 m wide contains 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

Answer: A

What were the previous year's CAT Volume & Surface questions?

Q 9. A boat having a length 3m and breadth 2m 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

Answer: B

Q 10. A water tank is 30 m long, 20 m wide and 12 m deep. It is made of iron sheet which is 3 m wide. The tank is open at the top. If the cost of the iron sheet is Rs.10 per metre, then the total cost of the iron sheet required to build the tank is 
(a) Rs. 6000 
(b) Rs. 8000
(c) Rs. 9000 
(d) Rs. 10000

Answer: A

Q 11. Given that 1 cu. cm of marble weighs 25 gms , the weight of 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

Answer: B

Q 12. 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) 0.05 cm 
(d) 0.5 cm

Answer: B

What were the Volume and Surface questions on the CAT 2022 exam?

Q 13. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is :
(a) 75 cm 
(b) 750 c m
(c) 7500 cm 
(d) 75000 cm

Answer: B

Q 14. The breadth of a room is twice its height and half its length. The volume of the room is 512 cu. m. The length of the room is 
(a) 16 m 
(b) 18 m
(c) 20 m 
(d) 32 m

Answer: A

Q 15. The length of a cold storage is double its breadth. Its height is 3 metres. The area of its four walls (including the doors) is 108 m2. Find its volume.
(a) 215 m
(b) 216 m3
(c) 217 m
(d) 218 m3

Answer: B

Q 16. The length of a hall is 20 metres and the width is 16 metres. The sum of the areas of the floor and roof is equal to the sum of the areas of the four walls. Find the volume of the hall.
(a) 2844.4 m
(b) 2866.8 m3
(c) 2877.8 m
(d) 2899.8 m3

Answer: A

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