MathematicsA cube A   has side thrice as long as that of cube B  . What is the ratio of the volume of cube A   to that of cube B  ?

A cube A   has side thrice as long as that of cube B  . What is the ratio of the volume of cube A   to that of cube B  ?


  1. A
    27:1
  2. B
    28:1
  3. C
    25:1
  4. D
    22:1 

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    Solution:

    Given : A cube A   has a side thrice as long as that of the cube B  .
    Volume of cube =side3
    Let the side of the cube B   be a  .
    As cube, A   has side thrice as long as that of the cube B  .
    This implies the side of the cube A   is 3a.
    Let the volume of the cube A   be V A  .
      VolumeofthecubeA, V A = 3a 3 =27 a 3  
    Let the volume of the cube B   be V B  .
      VolumeofthecubeB, V B = a 3 = a 3  
    The ratio of the volume of the cube A   to that of the cube B  . Volume of the cube A:Volume of the cube B= V A : V B =27 a 3 : a 3 =27:1  
    The ratio of the volume of the cube A   to that of the cube B   is 27:1.
    Hence, the correct option is 1.
     
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