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 are needed to cover the top of the tower if 15% extra sheet metal is needed for joints, overlap, and waste?
Correct answer:
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Mathematican
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.
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.
Mathematican
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).
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You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- solid geometry
- pyramid
- surface area
- planimetrics
- Pythagorean theorem
- right triangle
- polygon
- triangle
Units of physical quantities:
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