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The rainfall on a certain day was $6 cm$ . How many litres of water fell on 3 hectares of field on that day?

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1800000 litres

1760000 litres

1543000 litres

6548000 litres

answer is A.

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Detailed Solution

It is given length of the rainfall is 6 cm and 3 hectares of field.
The formula for converting cubic meter to litres is given by:

1 m 3 = 1 × 1000 l i t r e

The formula for converting hectare to square meters is given by:

1 h e c t a r e = 1 × 10000 s q u a r e m e t e r s

Converting the value in cm to the meter is given by:

1 c m = 1100 m

Converting the area of the field from hectares to square meters,

3 h e c t a r e s = 3 × 10000 m 2 ⇒ 3 h e c t a r e s = 30000 m 2

Converting the height of rainfall from cm to meters,

6 c m = 6100 m

Computing the volume of the rainwater by multiplying the area of the field and the height of the rainfall.
Volume of the rainwater =

30000 m 2 × 6100 m

⇒ V o l u m e o f t h e r a i n w a t e r = 1800 m 3

Computing the amount of water fell,

1800 m 3 = 1800 × 1000 l i t r e s ⇒ 1800 m 3 = 1800000 l i t r e s

Thus, the amount of water fell is

1800000 l i t r e s

.
The amount of water fell is

1800000 l i t r e s

.
Hence option (1) is correct.

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