Consumption 17823

The roof has the shape of a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses.

Correct answer:

S =  69 m²

Step-by-step explanation:

$$\begin{gathered} v=5\text{m} \\ a=4\text{m} \\ n=6 \\ {S}_1=\frac{a\cdot v}{2}=\frac{4\cdot 5}{2}=10{\text{m}}^2 \\ q=100\%+15\%=1+\frac{15}{100}=1.15 \\ S=q\cdot n\cdot S_1=\frac{23}{20}\cdot 6\cdot 10=69{\text{m}}^2 \end{gathered}$$

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