Sun Jul 10, 2005 5:28 am
Moongewl wrote:Anyway, looking at the problem logically, it could never happen, because how would you get ice from Terror Mountain to the Lost Desert without it melting on the way? Last time I checked, there were no refrigerated trucks in Neopia, and I haven't heard of any FedEx Faerie, either.
Sun Jul 10, 2005 10:33 am
dood wrote:hexagonal prism. Full explanation. (seing as people have differing answers)
Firstly, the length is 1.5 meters.
If you draw a line from each corner to the middle you'll cut the middle in 6. You've cut the middle of the hexagon into six equal angles. 360/6=60. All the lines you've drawn approach at the same angle to the edge as each other and so the other two angles are the same. 180-60 = 120. 120/2=60. and so all the angles of each triangle is 60 degrees. They're equilateral.
therefore, we use that Greek guys equation.
area of a triangle = root/ s x (s-a) (s-b) (s-c)
where a b and c = the sides of the triangle (all 1.5)
where s = semiperimeter (a+b+c)/2. which is 2.25
area of triangle = root/ 2.25 x 0.75 x 0.75 x 0.75
area of triangle = 0.974278579
there are six triangles and thus,
area of cross-section = 5.845671474 (six times area of triangle)
it's 0.8 meters deep.
5.845671474 x 0.8 = 4.676537.
Sun Jul 10, 2005 4:51 pm
Mon Jul 11, 2005 6:14 am
Mon Jul 11, 2005 4:12 pm
AySz88 wrote:He's using Heron's Formula .
He cut the hexagon into six equilateral triangles.
Then he used that formula, which is:
area of a triangle = sqrt[ s*(s-a)*(s-b)*(s-c) ]
s = (a+b+c)/2
where a, b, and c are sides of the triangle.
Since a, b, and c are all 1.5 meters, he got the area of each triangle by getting s in the bottom equation, then plugging everything into the top equation. (Area = 0.974278... m^2) He then multiplied that by 6 for the area of the whole hexagon, and then multiplied by 0.8 for the height of the pool, to get 4.676537 m^3.
Mon Jul 11, 2005 5:28 pm
Mon Jul 11, 2005 6:44 pm