Final answer:
The volume of the composite figure made of the right prisms is 875 ft³.
Step-by-step explanation:
The composite figure described consists of a rectangular prism and a cubical prism stacked on top of each other. The length and width of the rectangular prism are 15 feet and 5 feet, respectively. The height of the entire figure is 10 feet. To find the volume of the figure, we need to calculate the volume of each prism separately and then add them together.
The volume of a rectangular prism is given by the formula V = length × width × height. So, the volume of the rectangular prism is V1 = 15 ft × 5 ft × 10 ft = 750 ft³.
The volume of a cube is given by the formula V = side³. Since each side of the cube has a length of 5 feet, the volume of the cubical prism is V2 = 5 ft × 5 ft × 5 ft = 125 ft³.
To find the total volume of the composite figure, we add the volumes of the rectangular prism and the cubical prism: V_total = V1 + V2 = 750 ft³ + 125 ft³ = 875 ft³.
Therefore, the volume of the composite figure made of the right prisms is 875 ft³.