Rainfall

How many liters of water did fell in a 32m long and 8m wide garden, if 8mm of rain fell?

Correct result:

x =  2048 l

Solution:

$a=32 \ m \rightarrow dm=32 \cdot \ 10 \ dm=320 \ dm \ \\ b=8 \ m \rightarrow dm=8 \cdot \ 10 \ dm=80 \ dm \ \\ c=8 \ mm \rightarrow dm=8 / 100 \ dm=0.08 \ dm \ \\ \ \\ x=a \cdot \ b \cdot \ c=320 \cdot \ 80 \cdot \ 0.08=2048 \ \text{dm}^3 \ \\ 1 \ dm^3=1 \ l \ \\ \ \\ x=32 \cdot \ 8 \cdot \ 8=2048 \ \text{l}$

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