Glass

How many glass are needed to produce glass with base regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm?

Correct result:

S =  195.685 cm2

Solution:

S1=5⋅ 4.2=21 h=10 S1=5/4 a2 tan⁡(54∘) a=4⋅ S1/5/tan⁡54∘=tan⁡3π/10=3.4937 o=5⋅ a=5⋅ 3.4937≐17.4685 S=S1+o⋅ h=21+17.4685⋅ 10=195.685 cm2S_{1}=5 \cdot \ 4.2=21 \ \\ h=10 \ \\ S_{1}=5/4 \ a^2 \ \tan(54^\circ ) \ \\ a=\sqrt{ 4 \cdot \ S_{1}/5 /\tan 54 ^\circ }=\tan 3π/10=3.4937 \ \\ o=5 \cdot \ a=5 \cdot \ 3.4937 \doteq 17.4685 \ \\ S=S_{1} + o \cdot \ h=21 + 17.4685 \cdot \ 10=195.685 \ \text{cm}^2

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