Final answer:
The volume of a pyramid is calculated by multiplying the area of the base by the height and then dividing by three. For rectangular and square-based pyramids with the same height, calculate the area of the base, then apply the formula V = (1/3)Ah to find their respective volumes.
Step-by-step explanation:
To find the volumes of the two pyramids with a rectangular and a square base respectively, we use the formula for the volume of a pyramid, which is V = (1/3)Ah, where A is the area of the base and h is the height. For the rectangular base pyramid with a length of 10 m and width of 20 m, the area of the base, A, is 200 m². The volume of this pyramid is thus V = (1/3) × 200 m² × h.
For the pyramid with a square base where each side is 10 m, the area of the base is 100 m². Therefore, the volume of this pyramid is V = (1/3) × 100 m² × h. Assuming both pyramids have the same height h, we can calculate their volumes directly once the height is known.