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Volume and Surface Area (Aptitude) Question and Answers-Page first

# Volume and Surface Area problems

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

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

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• 2. 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 the man is:

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

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• 3. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

• Options
• A. 5600
• B. 6000
• C. 6400
• D. 7200

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• 4. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

• Options
• A. 12Π cm3
• B. 15Π cm3
• C. 16Π cm3
• D. 20Π cm3

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• 5. The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

• Options
• A. 3 : 7
• B. 7 : 3
• C. 6 : 7
• D. 7 : 6

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• 6. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

• Options
• A. 344.35 cm2
• B. 462 cm2
• C. 498.35 cm2
• D. None of these

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• 7. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:

• Options
• A. 20 cm
• B. 25 cm
• C. 35 cm
• D. 50 cm

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• 8. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

• Options
• A. 84
• B. 90
• C. 168
• D. 336

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• 9. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

• Options
• A. 720
• B. 900
• C. 1200
• D. 1800

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• 10. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

• Options
• A. 90 cm
• B. 1 dm
• C. 1 m
• D. 1.1 cm

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