# 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:

**Showing 2 comments:**

**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.

0.6

0.6

^{2}+ a^{2}= 1.2^{2}then this a is the apothem, and you can use to find the height of "triangle a face". So h_{2}^{2}= 1.6^{2}+ a^{2}. 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:

#### Grade of the word problem:

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