The volume is 1/3 * height * area of the base so we need the height and this area to find the volume. Note: if we join the point S to each of the vertices of the base we get 6 equilateral triangles so knowing the length of a side of the base we can find the area of the base.
The following lengths can be used:
XY and ST We can get the area of the base knowing the length of XY and ST is the height.
VU and TW. From VU we can get the area of the base and the length of SW and from the length of TW and SW we can get the height.
TX and WX . From WX we can get the area of the base and the length of SX and from TX and SX we can find the height.
1 is perpendicular bc it's the opposite reciprocal so Basically it's the original fraction upside down. 2 is parallel bc both fractions have the same slope but one is negative
