To find the volume of the composite figure, we must first find the individual volumes of the rectangular prism and the cube, and then add them together.
Volume of rectangular prism:
Volume = length x width x height
Volume = 6 in x 6 in x 2 in
Volume = 72 in^3
Volume of cube:
Volume = side^3
Volume = 2 in x 2 in x 2 in
Volume = 8 in^3
Total volume of composite figure:
Volume = volume of rectangular prism + volume of cube
Volume = 72 in^3 + 8 in^3
Volume = 80 in^3
The volume of the composite figure is 80 in^3.
An illustration shows a cube placed on the top and center of a larger rectangular prism. The length and width of the prism is 6 inches respectively and 2 inches high. The sides of the cube are 2 inches.
What is the volume of the composite figure?
Write your answer in: in.^3
1 answer