NOTE: in order to be able to answer the question, the question should specify that the base is a REGULAR hexagon and the pyramid is a RIGHT pyramid.
Lateral surface area: 6 triangles, each with base equal to the side length of the hexagon and height equal to the slant height.
Total surface area: Add to the lateral surface area the area of the base, which can be viewed as 6 equilateral triangles with side length 6.
Volume: one-third the area of the base, times the height. The height can be determined as the length of the other leg of a right triangle with one leg whose length is the apothem of the hexagonal base (altitude of one of the equilateral triangles that make up the base) and with hypotenuse equal to the slant height of the pyramid.
I'll give you the answers I got -- but if you want to learn anything from this you should do the calculations yourself and see if your answers are the same as mine.
Lateral surface area:
Base aree:
Total surface area:
Height:
Volume:
