# Pool

Mr. Peter build a pool shape of a four-sided prism with rhombus base in the garden. Base edge length is 8 m, distance of the opposite walls of the pool is 7 m. Estimated depth is 144 cm.

How many hectoliters of water consume Mr. Peter to fill the pool?

Result

V =  806.4 hl

#### Solution:

$a = 8 \ m \ \\ v = 7 \ m \ \\ h = 144 \ cm = 144 / 100 \ m = 1.44 \ m \ \\ \ \\ S = a \cdot \ v = 8 \cdot \ 7 = 56 \ m^2 \ \\ V_{ 1 } = S \cdot \ h = 56 \cdot \ 1.44 = \dfrac{ 2016 }{ 25 } = 80.64 \ m^3 \ \\ \ \\ V = V_{ 1 } \rightarrow hl = V_{ 1 } \cdot \ 10 \ hl = 806.4 \ hl = \dfrac{ 4032 }{ 5 } = 806.4 \ \text { hl }$

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

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

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