• 1. 
    The length of the longest pole that can be put in a room of dimension (10 m × 10 m × 5 m) is

  • 15 m
  • 16 m
  • 10 m
  • 12 m
  • 2. 
    The lateral surface area of a cube is 256 m³. The volume of the cube is

  • 512 m³
  • 64 m³
  • 216 m³
  • 256 m³
  • 3. 
    The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is

  • 10 : 17
  • 20 : 27
  • 17 : 27
  • 20 : 37
  • 4. 
    A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is

  • 4.2 cm
  • 2.1 cm
  • 2.4 cm
  • 1.6 cm
  • 5. 
    The total surface area of a cube is 96 cm². The volume of the cube is

  • 8 cm³
  • 512 cm³
  • 64 cm³
  • 27 cm³
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