MathematicsHow many planks each of 3 m long, 15 cm broad and 5 cm thick can be prepared from a 6 m long, 75 cm broad and 45 cm thick wooden block?

How many planks each of 3 m long, 15 cm broad and 5 cm thick can be prepared from a 6 m long, 75 cm broad and 45 cm thick wooden block?


  1. A
    90
  2. B
    85
  3. C
    56
  4. D
    12 

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    Solution:

    Given details are, Dimensions of one plank = 3m × 15cm × 5cm = 300cm × 15cm × 5cm Dimensions of wooden block = 6m × 75cm × 45cm = 600cm × 75cm × 45cm
    We know that, Number of planks that can be prepared = volume of wooden block volume of one plank = (600 × 75 × 45)  (300 × 15 × 5 = 90 planks
    Hence, 90 planks are required to prepare the block.
    Hence, option (1) is the correct option.
     
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