Triagonal Agony

This is another puzzle just purchased from Brian Menold. Designed by Laszlo Molnar, the six pieces form a cube. But that's not all. You have to construct that cube in a box that has only two triangular openings on adjacent faces. Just creating the cube is not easy. After some time I managed to luck into a solution but got confused trying to place a couple of its pieces into the box. Removing them from the box I found that I could no longer recreate my cube. Argh! Once I did finally construct the cube again I smartly drew myself a placement picture. I held the cube a number of ways and decided which might be the final two pieces into the box. Setting those aside I tried to position the other four pieces inside the box. I managed three only and then had a difficult time getting them out again. Extremely frustrating!