Roof cover

Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m2 of sheet metal is needed to cover this roof if 5.5% of the sheet we must add for joints and waste.

Correct answer:

S =  189.9 m2

Step-by-step explanation:

a=12 m v=4.5 m q=1+1005.5=200211=1.055  h2=v2+(a/2)2=4.52+(12/2)2=215=7.5 m  S1=a h2/2=12 7.5/2=45 m2  S2=4 S1=4 45=180 m2 S=S2 q=180 1.055=101899 m2=189.9 m2

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