Final answer:
The volume of a rectangular pyramid with a height of 10 meters and a base with sides measuring 3 meters and 5 meters is 50 cubic meters.
Step-by-step explanation:
Calculating the Volume of a Rectangular Pyramid
To determine the volume of a rectangular pyramid with a height of 10 meters and base sides measuring 3 meters and 5 meters, we use the volume formula for a pyramid, which is V = (1/3) × base area × height.
First, calculate the base area by multiplying the lengths of the base sides: base area = 3 m × 5 m = 15 m². Then, apply the volume formula:
V = (1/3) × (15 m²) × 10 m = 50 m³.
The volume of the pyramid is therefore 50 cubic meters (50 m³). This represents the amount of space within the pyramid. Remember that the formula used applies specifically to pyramids with a rectangular base, which is essential in geometry when working with different types of solid figures.