Pool

Mr. Peter builds a pool in the garden in the shape of a four-sided prism with a rhombus base. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm.

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

Correct answer:

V =  806.4 hl

Step-by-step explanation:

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

Try another example