A tetrahedron and a pyramid of the same volume

Two solids of the same volume, the twenty-fourth of a cube, composed of a half square of unit hypotenuse, with a height [math] \frac 12 [/math] placed above the corner, and the pyramid of square base of side [math] \frac 12 [/math] and height of the same length, the apex above a corner.

Information: A tetrahedron and a pyramid of the same volume