The tetrahedron will be sort of distorted. Two out of the four triangular sides will be made out of the back and the bottom of the cube. If looking straight at the bottom/ back edge of the cube, the two triangles of the tetrahedron should look like this: <|>. The line in the middle represents the edge.
I really need help cutting the other two triangular sides which slope down in a weird way.
2007-04-02 08:19:27 · 1 answers · asked by Maniacle 2 in Science & Mathematics ➔ Engineering
Well, if it to be distorted, then the easiest way is a saw cut on the diagonal of the cube, converting three of the sides to triangles and making a new 4 sided base in the middle. The angle of the saw cut is determined by the height of the cube as the opposite side and the diagonal of half the base as the adjacent side. If the opposite is 1, then the adjacent is half the hypotenuse of a 45 degree triangle with sides 1 or half the square root of two. 1.41421356 / 2 = 0.70710678 The tangent of the angle is opposite over adjacent =
1 / 0.70710678 = 1.41421356
arctan(1 / 0.70710678) = 0.955316619 radians
or 54.7356104 degrees
2007-04-02 12:17:48 · answer #1 · answered by Mike1942f 7 · 0⤊ 0⤋