To find the volume of this composite figure, we will need to first separate it into the two rectangular prisms that make up the larger figure (You seem to have already figured that step out =) ).
Let us start with the larger prism.
The formula for the volume of a rectangular prism is length * width * height. The length of the larger prism is 27, width is 12, and height is 6. We can multiply these to find the volume.
27 * 12 = 324
324 * 6 = 1944
The volume of the larger figure is 1,944 cubic feet.
Now let's find the volume of the smaller figure:
The length of the smaller prism is 9, the width is 12, and the height is 6, so we can again multiply these out to get the volume.
9 * 12 = 108
108 * 6 = 648
The volume of the smaller figure is 648 cubic feet.
To find the volume of the whole figure, all we need to do is add the volumes of the individual prisms making up the composite figure.
1944 + 648 = 2592
The volume of the composite figure is 2,592 cubic feet.
Hope that helped! =)
