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The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?
  • a)
    36
  • b)
    27
  • c)
    16
  • d)
    20
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The length of each side of a cube is 24 cm. The volume of the cube is ...
Given:  
The length of each side of a cube is 24 cm.  
The breadth and the height of the cuboid are 32 cm and 12 cm, respectively.  
Concept used:  
The volume of the cube is equal to the volume of a cuboid.  
Volume of cube = a³  
Volume of cuboid = lbh  
Calculation:  
The volume of the cube is equal to the volume of a cuboid.  
⇒ 24³ = l × 32 × 12  
⇒ l = 3 × 12  
⇒ l = 36  
∴ Option 1 is the correct answer.
 
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The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?a)36b)27c)16d)20Correct answer is option 'A'. Can you explain this answer?
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