1. The number of small cubes with edges of 10 cm that can be accommodated in a cubical box 1 meter edge is ?

1. 1. 10

   
   
   

   2. 100

   
   
   

   3. 1000

   
   
   

   4. 10000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Number of cubes = (100 x 100 x 100)/(10 x 10 x 10) = 1000

   Correct Option: D

   Number of cubes = (100 x 100 x 100)/(10 x 10 x 10) = 1000

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2. The volume of a sphere is 88/21 x (14)³ cm³. The curved surface of this sphere is ?

1. 1. 2424 cm²

   
   
   

   2. 2446 cm²

   
   
   

   3. 2464 cm²

   
   
   

   4. 2484 cm²

   
   
   

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1. View Hint View Answer Discuss in Forum

   ∵ (4/3) x (22/7) x r³ = (88/21) x (14)³
   ⇒ r = 14

   Correct Option: C

   ∵ (4/3) x (22/7) x r³ = (88/21) x (14)³
   ⇒ r = 14
   ∴ Curved surface = 4 x (22/7) x 14 x 14 cm² = 2464 cm²

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3. If the volume and surface are of a sphere are numerically the same then its radius is ?

1. 1. 1 unit

   
   
   

   2. 2 unit

   
   
   

   3. 3 unit

   
   
   

   4. 4 unit

   
   
   

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1. View Hint View Answer Discuss in Forum

   4/3 πr³ = 4πr²
   

   Correct Option: C

   4/3 πr³ = 4πr²
   ⇒ r = 3 units.

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4. A cylinder and a cone have the same height and same radius of the base. The ratio between the volumes of the cylinder and the cone is ?

1. 1. 1 : 3

   
   
   

   2. 3 : 1

   
   
   

   3. 1 : 2

   
   
   

   4. 2: 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   Ratio of their volumes = [πr²h] / [(1/3)πr²h] = 3/1
   

   Correct Option: B

   Ratio of their volumes = [πr²h] / [(1/3)πr²h] = 3/1
   = 3 : 1

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5. The area of the base of a rectangular tank is 6500 sq. cm and the volume of water contained in it is 2.6 cubic meters. The depth of water is ?

1. 1. 3.5 m

   
   
   

   2. 4 m

   
   
   

   3. 5 m

   
   
   

   4. 8 m

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let depth = D cm.
   Then, D x 6500 = 2.6 x 100 x 100 x 100

   Correct Option: B

   Let depth = D cm.
   Then, D x 6500 = 2.6 x 100 x 100 x 100
   ∴ D = (2.6 x 100 x 100 x 100) / 6500 cm
   = 400 cm = 4 cm
   

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