To find the volume of the pyramid with the same base and height as the prism, we can use the formula for the volume of a pyramid, which is 1/3 * base area * height.
First, we need to find the area of the base triangle. We can use Heron's formula to calculate the area:
s = (21 + 17 + 10) / 2 = 24
Area = sqrt(24 * (24 - 21) * (24 - 17) * (24 - 10)) = sqrt(24 * 3 * 7 * 14) = sqrt(7056) = 84
Now, we can calculate the volume of the pyramid:
Volume = 1/3 * 84 * 8 = 224
Therefore, the volume of the pyramid is 224 cubic units.