Gasoline tank

How many liters of gasoline are in the tank in the shape of a quadrilateral prism with the base of a diamond with a side of 25 cm and a height of 15 cm? The gasoline reaches 4/5 of the tank height, and the tank height is 50 cm.

Final Answer:

x =  15 l

Step-by-step explanation:

$$\begin{gathered} a=25\text{cm}\to \text{dm}=25:10\text{dm}=2.5\text{dm} \\ v=15\text{cm}\to \text{dm}=15:10\text{dm}=1.5\text{dm} \\ h=50\text{cm}\to \text{dm}=50:10\text{dm}=5\text{dm} \\ {h}_2=\frac{4}{5}\cdot h=\frac{4}{5}\cdot 5=\frac{4\cdot 5}{5}=\frac{20}{5}=4\text{dm} \\ S=a\cdot v=2.5\cdot 1.5=\frac{15}{4}=3.75{\text{dm}}^2 \\ x=S\cdot h_2=3.75\cdot 4=15\text{l} \end{gathered}$$

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