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The number of planks of dimensions 4m × 5m × 2m that can be stored in a pit which is 40, long 12 m wide and 16 m deep, is ____.

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Detailed Solution

The number of planks of dimensions 4m × 5m × 2m that can be stored in a pit which is 40, long 12 m wide and 16 m deep, is 192.
Given, planks of dimensions 4m × 5m × 2m.
Pit dimensions are 40 long, 12 m wide and 16 m deep.
Volume of the pit is

lbh = 40 (12) (16)

= 7680 m^{3}

Volume of the plank is

lbh = 4 (5) (2)

= 40 m^{3}

Number of planks = Volume of the pit

\div

Volume of the plank
=

\frac{7680}{40}

= 192

So, the number of planks is 192.
Hence, the correct answer is 192.

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