What is the volume of the composite figure 3 shapes together one side is a cube measurements 2 yards 2 yards and 2 yards the middle figure only shows a bottom length of 4.5 yards in the third cube is 2 yards x 2 yards x 2 yards
To find the volume of the composite figure, we need to find the volume of each individual shape and then add them together.
1. Cube with side length 2 yards:
Volume = s^3 = 2^3 = 8 cubic yards
2. Rectangular prism with a base length of 4.5 yards and height 2 yards:
Volume = base area x height = 4.5 x 2 = 9 cubic yards
3. Cube with side length 2 yards:
Volume = s^3 = 2^3 = 8 cubic yards
Now, add the volumes of the three shapes together:
8 + 9 + 8 = 25 cubic yards
Therefore, the volume of the composite figure made up of the three shapes is 25 cubic yards.