To find the volume of the composite figure composed of two cubes and a rectangular prism, we need the dimensions for each shape. However, since you didn't provide specific measurements, I'll outline the steps to calculate the volume of each component:
1. Volume of the Left Cube:
The volume \( V \) of a cube is given by the formula: \[ V = s^3 \] where \( s \) is the length of a side of the cube.
Example Calculation:
- If the side length \( s = a \) cm, then the volume is: \[ V = a^3 , \text{cubic centimeters} \]
2. Volume of the Middle Rectangular Prism:
The volume \( V \) of a rectangular prism is given by the formula: \[ V = l \times w \times h \] where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Example Calculation:
- If the length \( l = b \) cm, the width \( w = c \) cm, and height \( h = d \) cm, then: \[ V = b \times c \times d , \text{cubic centimeters} \]
3. Volume of the Right Cube:
Similar to the left cube, the volume is calculated using: \[ V = s^3 \] where \( s \) is the side length.
Example Calculation:
- If the side length \( s = e \) cm, then: \[ V = e^3 , \text{cubic centimeters} \]
4. Volume of the Entire Composite Figure:
To find the total volume of the composite figure, sum the volumes of the left cube, middle rectangular prism, and right cube: \[ \text{Total Volume} = (\text{Volume of Left Cube}) + (\text{Volume of Middle Rectangular Prism}) + (\text{Volume of Right Cube}) \]
Example Calculation: \[ \text{Total Volume} = a^3 + (b \times c \times d) + e^3 , \text{cubic centimeters} \]
Conclusion
Substitute the specific dimensions you have into the formulas to find the volumes of each part and the total volume of the composite figure. If you provide specific dimensions, I can help you calculate the exact volumes.