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The number of planks of dimensions $(4 m × 5 m × 2 m)$ that can be stored in a pit which is $40 m$ long, $12 m$ wide and $160 m$ deep are,

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1520

1660

1440

1920

answer is D.

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Detailed Solution

The given dimensions of plank are,
Length = 4m,
Breadth = 5m,
Height = 2m.
Plank is in the shape of a cuboid.
So, the volume of plank =

lengt h \times breadt h \times h eig h t

⇒ 4 × 5 × 2

⇒ 40 m 3

The given dimensions of a pit are,
Length = 40m,
Breadth = 12m,
Height = 160m.
Pit is also in the shape of a cuboid.
So, the Volume of a pit =

lengt h \times breadt h \times h eig h t

⇒ 40 × 12 × 160

⇒ 76800 m 3

Number of planks

= V o l u m e of pit V o l u m e of plank

⇒ 7680040

⇒ 1920

The number of planks is 1920.
Therefore, the correct option is 4.

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