Volume Practice Test 1

1. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

     A.   3.6 kg

     B.   3.696 kg

     C.   36 kg

     D.   36.9 kg

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2. 50 men took a dip in water tank 40 m long and 20 m broad on a religious day. If the average displacements 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

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3. 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

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4.A cube of edge 5 cm is cut into cubes of each edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to

             A.  1 : 5        B.  1 : 25

             C.  1 : 125   D.  1 : 625

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5. 50 men took a dip in water tank 40 m long and 20 m broad on a religious day. If the average displacements 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

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6. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

     A.   2 : 1

     B.   3 : 2

     C.   25 : 18

     D.   27 : 20

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7. The cost of painting the whole surface area of a cube at the rate of 13 paise per Sq.cm is Rs. 343.98. Then the volume of the cube is A.  8500 cm3 B.  9000 cm3 C.  9250 cm3 D.  9261 cm3 View Answer With Explanation

8. A cube of edge 5 cm is cut into cubes of each edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to

     A.   1 : 5

     B.   1 : 25

     C.   1 : 125

     D.   1 : 625

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9. 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:

     A.   90 cm

     B.   1 dm

     C.   1 m

     D.   1.1 cm

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10. The length of an edge of a hollow cube open at one face is √3 metres. What is the length of the largest pole that it can accommodate?

             A.  2 metres           B.  3 metres

             C.  4 metres            D.  3√3metres

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