Consumption 4259

What is the consumption of fabric per tent:
Length 250, width 180, the height of triangle 120, sides 150 (all cm).
What is the volume of air in the tent?

Correct answer:

S =  9.66 m²
V =  2.7 m³

Step-by-step explanation:

$$\begin{gathered} a=2.50 \\ b=1.80 \\ h=1.20 \\ r=1.50 \\ {b}_2=2\cdot \sqrt{r^2-h^2}=2\cdot \sqrt{1.5^2-1.2^2}=\frac{9}{5}=1.8 \\ b=b_2=ok \\ {S}_1=b\cdot h/2=1.8\cdot 1.2/2=\frac{27}{25}=1.08 \\ S=2\cdot r\cdot a+2\cdot S_1=2\cdot 1.5\cdot 2.5+2\cdot 1.08=9.66{\text{m}}^2 \end{gathered}$$

$V=S_1\cdot a=1.08\cdot 2.5=2.7{\text{m}}^3$

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