Tent

Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m.

Correct answer:

V =  19486 l

Step-by-step explanation:

$$\begin{gathered} r=3\cdot 10=30 \\ v=1.5\cdot 10=15 \\ d=5\cdot 10=50 \\ a=2\cdot \sqrt{r^2-v^2}=2\cdot \sqrt{30^2-15^2}=30\sqrt{3}\doteq 51.9615 \\ S=v\cdot a/2=15\cdot 51.9615/2=225\sqrt{3}\doteq 389.7114 \\ V=d\cdot S=50\cdot 389.7114=19486\text{l} \end{gathered}$$

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