A resort is building a scuba diving Lagoon in the shape of an upside down prism. The top of the Lagoon is rectangle that is 50 ft by 20 ft and the deepest point of the Lagoon is in the middle at 25 ft deep. How much water does the Lagoon hold

Answer 1

To find the volume of the Lagoon, we first need to find the volume of the rectangular top and then subtract the volume of the triangular sides.

The volume of the rectangular top is given by: Volume_rectangular_top = length * width * height = 50 ft * 20 ft * 25 ft = 25000 cubic ft.

The volume of each triangular side is given by: Volume_triangular_side = (1/2) * base * height * width = (1/2) * 20 ft * 25 ft * 25 ft = 6250 cubic ft.

Since there are two triangular sides, the total volume of the triangular sides is: 2 * 6250 cubic ft = 12500 cubic ft.

Therefore, the total volume of the Lagoon is: Volume_Lagoon = Volume_rectangular_top - Volume_triangular_side = 25000 cubic ft - 12500 cubic ft = 12500 cubic ft.

So, the Lagoon holds 12500 cubic ft of water.