# Volume and Surface Area

## Volume and Surface Area

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 Question 1
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
Question 1 Explanation:
1 hectare = 10,000 m^2 So, Area = (1.5 x 10000) m^2 = 15000 m^2. Depth = 5/100m =1/20m. Volume = (Area x Depth) =15000 x(1/120)m^3= 750 m^3.
 Question 2
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:
 A 1200 B 900 C 720 D 1800
Question 2 Explanation:
2(15 + 12) x h = 2(15 x 12) h = 180/27 m =20/3 m. Volume =15 x 12 x(20/3)m^3 = 1200 m^3.
 Question 3
6 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be: A. B. C. D. Answer: Option A Explanation: Let the length of the wire be h. Radius = 1 mm = 1 cm. Then, 2 20 22 x 1 x 1 x h = 66. 7 20 20 h = 66 x 20 x 20 x 7 = 8400 cm = 84 m. 22
 A 84 B 90 C 168 D 336
Question 3 Explanation:
Let the length of the wire be h. Radius =1/2mm =1/20cm. Then, ==>(22/7)x(1/20)x(1/20)x h = 66. h =(66 x 20 x 20 x 7)/22= 8400 cm = 84 m.
 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 the man is:
 A 12 kg B 60 kg C 72 kg D 96 kg
Question 4 Explanation:
Volume of water displaced= (3 x 2 x 0.01) m^3 = 0.06 m^3. Mass of man = Volume of water displaced x Density of water = (0.06 x 1000) kg = 60 kg.
 Question 5
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:
 A 20 cm B 25 cm C 35 cm D 50 cm
Question 5 Explanation:
Total volume of water displaced = (4 x 50) m3 = 200 m3. Rise in water level = 200/(40 x 20)m* 0.25 m = 25 cm.
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There are 5 questions to complete.