Answer:
Explanation:
The volume of a pyramid can be calculated using the formula:
V = (1/3) * Base Area * Height
To calculate the volume of this pyramid, we need to first find the area of its regular hexagonal base. The formula for the area of a regular hexagon is:
A = (3√3/2) * s^2
where s is the length of one side of the hexagon. Substituting s = 10, we get:
A = (3√3/2) * 10^2 = 259.80 square units (approx)
Now we can use the formula for the volume of a pyramid to find the volume of this pyramid:
V = (1/3) * 259.80 * 12 = 1039.20 cubic units (approx)
Therefore, the approximate volume of the pyramid is 1039.20 cubic units.