Pool

The swimming pool is 10 m wide and 8 m long and 153 cm deep. How many hectoliters of water is in it, if the water is 30 cm below its upper edge?

Result

V =  984 hl

Solution:

$a = 10 \ m \ \\ b = 8 \ m \ \\ c_{ 1 } = 153-30 = 123 \ cm \ \\ \ \\ c = c_{ 1 } \rightarrow m = c_{ 1 } / 100 \ m = 1.23 \ m \ \\ V_{ 1 } = a \cdot \ b \cdot \ c = 10 \cdot \ 8 \cdot \ 1.23 = \dfrac{ 492 }{ 5 } = 98.4 \ m^3 \ \\ V = V_{ 1 } \rightarrow hl = V_{ 1 } \cdot \ 10 \ hl = 984 \ hl = 984 \ \text { hl }$

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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Math student
IT'S 9 CM NOT 10 CM. SO IT SHOULD BE 4004.

Dr Math
corrected, thank you

Following knowledge from mathematics are needed to solve this word math problem:

Do you want to convert length units? Do you know the volume and unit volume, and want to convert volume units?

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