| —> |
Forum Topic about this ship |
| admin: |
discussion pls in the topic of the pyramid device:
/forum/viewtopic.php?t=4313 |
| deenky: |
How do I find the surface area of this hexagonal pyramid? It is a regular hexagonal pyramid. One edge of the base is 5.5cm, and one lateral edge is 9cm. I am wondering how I would find the slant height of one face and the area of the base. |
| admin: |
nice bot, i will leave this interesting question in here ;) |
| colinthecorgi: |
maybe I am a bit slow, but where does it say that the pyramid device is hexagonal?
Or do you just want the math for a hexagonal pyramid? |
| colinthecorgi: |
A pyramid with a hexagonal base. The edge length of a hexagonal pyramid of height h is a special case of the formula for a regular n-gonal pyramid with n=6, given by
e=sqrt(h*h+a*a), where a is the length of a bottom edge
The volume of the hexagonal prism is
V=sqrt(3)*h*a*a/2
Weisstein, Eric W. "Hexagonal Pyramid." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/HexagonalPyramid.html
Finding the bottom surface seems rather easy, no?
Since it is a symmetrical pyramid, all corner angles must be the same, in this case 120 degrees. So you can split the bottom surface into 6 identical triangles with all sides 5.5 by just drawing a line from all corners into the centre, no? So the corner angles must be 60 degrees for all the 6 separate triangles. Then is simple trig after that. |
| fungu: |
selfdestruction???
is it nessesary ?
it is already very expensive! |
| admin: |
sure, otherwise it would make the deep scan probes obsolete ;) |
