Final answer:
Using the volume formula for a pyramid and the given measurements, the length of the side of the base of the pyramid is found to be 3 meters.
Step-by-step explanation:
To determine the length of the side of the base of a pyramid with a volume of 30 m³ and a height of 10m, we can use the formula for the volume of a pyramid, which is V = \(rac{1}{3}\)Ah, where A is the base area and h is the height. Since the pyramid in question has a volume of 30 m³ and a height of 10m, we can set up the equation 30 m³ = \(rac{1}{3}\)A(10m). Solving for A gives us A = 9 m². Assuming the base is a square, the area A would be s² where s is the side length, so 9 m² = s², and thus s = 3 meters.