The reason why people want to find the surface area of a non-existant pyramid? well...nobody knows...humankind is a mystery, and shall remain one till the doom of their lives, which only holds a greater mystery to be solved by none.
Anyways, there are two things that we need to find:
THE THREE SIDES:
This can be solved by multiplying [area of triangle] x 3. So, we now need to find the area of each triangle. This is simple:
A = bh/2
A = 20(12)/2
A = 240/2
A = 120
Large number, agreed, but the larger the better, says mankind to its sons and daughters.
Now, we need to multiply it by 3.
120 x 3 = 360
There!
THE BASE
All creatures need a strong base, said the wise sage from the ruins of Earth.
Therefore, so does this pyramid. Physically strong? Yes. But mentaly strong? No. Heights of 17.3 are a rare find in architecture, not pleasing to the Fibonocci sequence.
AREA OF BASE = bh/2 = 17.3(20)/2 = 17.3(10) = 173
Now, what do we do? Do we sit here and stare at the misproportioned pyramids of giza that you have brought to the web2.0calc community?
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No, we cannot waste such time doing so. We need to sharpen our skills.....and add!
173 + 360 = 533 yd3
I have answered your question. It is now time for you to go visit the pyramids of giza, and tell me the difference between them and your pyramid.
:)