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?

Correct result:

V =  806.4 hl

Solution:

$$\begin{gathered} a=8\text{ m } \\ v=7\text{ m } \\ h=144\text{ cm}\to \text{ m}=144\mathrm{/}100\text{ m}=1.44\text{ m } \\ S=a\cdot v=8\cdot 7=56{\text{m}}^2 \\ {V}_1=S\cdot h=56\cdot 1.44={\displaystyle \frac{2016}{25}}=80.64{\text{m}}^3 \\ V=V_1\to \text{ hl}=V_1\cdot 10\text{ hl}=80.64\cdot 10\text{ hl}=806.4\text{ hl}={\displaystyle \frac{4032}{5}}\text{ hl} \end{gathered}$$

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