Final answer:
To find the volume of the triangular prism-shaped swimming pool, we use the formula for the volume of a prism, but we need specific dimensions of the pool to complete the calculation.
Step-by-step explanation:
To calculate the volume of water that the triangular prism-shaped swimming pool holds, we can use the formula for the volume of a prism: Volume = Base Area × Height.
However, we need the dimensions of the swimming pool to determine the base area and the height (length of the pool). Since no specific dimensions are provided, we cannot calculate the exact volume of the pool with the given information. The solution requires the dimensions of the pool's base triangle and the length of the pool. With the dimensions, the problem would involve finding the area of the triangular base and then multiplying it by the pool length to get the volume in cubic feet.
Once we have the total volume in cubic feet, we could compare the result with the given options (A) 314 cubic feet, (B) 378 cubic feet, (C) 690 cubic feet, and (D) 756 cubic feet to find the pool's capacity.