A pyramid with height 2h and rectangular base with dimensions 3b and 6b.
Find the volume V of this solid.
To find the volume V of the pyramid, we can use the formula V = (1/3) * base area * height.
The base area of the pyramid is equal to the area of the rectangular base, which can be found by multiplying its length (3b) by its width (6b). Therefore, the base area is equal to 3b * 6b = 18b^2.
The height of the pyramid is given as 2h.
Now we can plug these values into the formula for volume:
V = (1/3) * 18b^2 * 2h
Simplifying,
V = 36b^2h
So, the volume of the pyramid is equal to 36b^2h.