Volume and Surface Area

Volume and Surface Area

Congratulations - you have completed Volume and Surface Area.

You scored %%SCORE%% out of %%TOTAL%%.

Your performance has been rated as %%RATING%%


Your answers are highlighted below.
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.
Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results
There are 5 questions to complete.

Leave a Reply

Your email address will not be published. Required fields are marked *