Use the image to answer the question.
An illustration shows a rectangular prism, placed vertically, on the top corner of a larger cube. The length and width of the prism is 1 foot respectively and the height is 3 feet. The sides of the cube are 3 feet.
What is the volume of the composite figure?
(1 point)
To find the volume of the composite figure, we first need to find the volume of the rectangular prism and then add it to the volume of the cube.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 1 ft x 1 ft x 3 ft
Volume = 3 cubic feet
Volume of the cube:
Volume = side length^3
Volume = 3 ft x 3 ft x 3 ft
Volume = 27 cubic feet
Now, we add the volume of the rectangular prism and the cube:
Volume of composite figure = 3 cubic feet + 27 cubic feet
Volume of composite figure = 30 cubic feet
Therefore, the volume of the composite figure is 30 cubic feet.