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Mathematics

The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is

  1. 1900

  2. 1920

  3. 1800

  4. 1840

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Answer

Volume of plank = 4 m × 50 cm × 20 cm

= 4 m × 0.50 m × 0.20 m

= 0.4 m3.

Volume of pit = 16 m × 12 m × 4 m

= 768 m3.

No. of planks that can be stored in pit = Volume of pitVolume of plank=7680.4\dfrac{\text{Volume of pit}}{\text{Volume of plank}} = \dfrac{768}{0.4} = 1920.

Hence, Option 2 is the correct option.

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