Top of the tower

The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m, the pyramid height is 1.6 m. How many square meters of sheet metal is needed to cover the top of the tower if 15% extra sheet metal is needed for joints, overlap and waste?

Correct answer:

S =  7.8986 m2

Step-by-step explanation:

a=1.2 m h=1.6 m n=6  h12+(a/2)2=a2  h1=a2a2/4=1.221.22/41.0392 m  h2=h2+h12=1.62+1.039221.9079 m S1=n 2a h2=6 21.2 1.90796.8684 m2 q=15%=1+10015=1.15  S=q S1=1.15 6.8684=7.8986 m2

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Showing 2 comments:
We need to find the apothem (a) of the base first, so then you can find the height of a triangle of the face since you don't have this, just the height of the pyramid.

0.62 + a2 = 1.22 then this a is the apothem, and you can use to find the height of "triangle a face". So h2 2 = 1.62 + a2. And now you do what it is written with these new values.

Thank Luiza. We just corrected this pyramid problem. So h is the height of the whole pyramid, h2 is wall height and h1 is now the height of the base triangles (hexagon is composed of six equilateral triangles).


Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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