To find the volume of the composite figure, we need to calculate the volumes of both the cube and the rectangular prism separately, then add them together.
Volume of the cube:
The formula for the volume of a cube is:
For the cube:
Volume of the rectangular prism:
The formula for the volume of a rectangular prism is:
For the prism:
- Length
- Width
(same as the side of the cube) - Height
Now we can calculate the volume:
Total Volume of the composite figure:
The total volume of the composite figure is 140 ft³.
So the correct response is: 140 ft³