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The rainfall recorded on a certain day was 5 cm. Then, the volume of water that fell on a 2-hectare field is ____.

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Detailed Solution

The rainfall recorded on a certain day was 5 cm. Then, the volume of water that fell on a 2-hectare field is 1000

m 3

.
Given that,
Height of rain

= 5 c m

.
Area of the field

= 2

hectare.
We know that, 1 hectare

= 10000 m 2

.
So, area of the field

= 2 × 10000 m 2

.
Area of the field

= 20000 m 2

.
Volume of cuboid,

V = l × b × h

Where,

l =

length,

b =

breadth and

h =

height.
Height of rain

= 5 c m

= 5100 m

∴ 1 c m = 1100 m

Then,
Total rain on the field

= 20000 m 2 × 5100 m

.
Total rain on the field

= 200 m 2 × 5 m

.
Total rain on the field

= 1000 m 3

.
Hence, the volume of the water falls on a 2-hectare field is

1000 m 3

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