An illustration shows a rectangular prism with a cube placed on top. The cube is 3 inches on all sides. The rectangular prism is 11 inches long and 4 inches high.
What is the volume of the composite figure?
First, let's calculate the volume of the rectangular prism.
Volume of rectangular prism = length x width x height = 11 inches x 3 inches x 4 inches = 132 cubic inches
Next, let's calculate the volume of the cube.
Volume of cube = side x side x side = 3 inches x 3 inches x 3 inches = 27 cubic inches
Now, to find the total volume of the composite figure, we add the volume of the rectangular prism and the volume of the cube.
Total volume = volume of rectangular prism + volume of cube = 132 cubic inches + 27 cubic inches = 159 cubic inches
Therefore, the volume of the composite figure is 159 cubic inches.