Answer:
Step-by-step explanation:
Just recall the formula for the volume of a prism: area of the base times its height. Now, is common to associate the base of a prism to the side which serves as a ‘‘base’’, i.e., the one in the bottom from our perspective.
This formula is right, but not quite precise. A better formulation for the formula would be: ‘‘the volume of a rectangular prism is equal to the area of a side times its relative height’’. Notice that we only need to rotate a prism to have a different side as a basis.
In the figure we have that the area of the green side is 27/5, and its relative height is 5/2. Thus, its volume is
V=(27/5)*(5/2) = 27/2 = 13.5
