This image shows two rectangular prisms stacked together. To calculate the total volume of the composite figure, you would find the volume of each prism and add them together.

Steps to solve:

1. Identify dimensions of the smaller prism (cyan):

   • Height = 1 in
   • Length = 7 in
   • Width = 5 in

   Volume of the smaller prism: $V = \text{Length} \times \text{Width} \times \text{Height} = 7 \times 5 \times 1 = 35 \, \text{in}^3$

2. Identify dimensions of the larger prism (pink):

   • Height = 4 in
   • Length = 9 in
   • Width = 5 in

   Volume of the larger prism: $V = \text{Length} \times \text{Width} \times \text{Height} = 9 \times 5 \times 4 = 180 \, \text{in}^3$

3. Calculate total volume: Total volume of the composite figure: $V_{\text{total}} = V_{\text{smaller}} + V_{\text{larger}} = 35 + 180 = 215 \, \text{in}^3$

Final Answer:

The total volume of the figure is 215 cubic inches.

Do you want further explanation or any questions about these calculations? Here are related questions to consider:

1. How can I calculate the surface area of this composite figure?
2. What happens to the volume if one dimension changes (e.g., height)?
3. How does the formula for volume change if the shape is not rectangular?
4. What is the significance of composite shapes in real-world applications?
5. Can this composite shape be broken into more than two parts for calculations?

Tip: Always check the units and ensure all dimensions use the same unit system before calculating volume.