The image shows a 3D composite figure with labeled dimensions, and you seem to be calculating the volume of the shape. Let's analyze this.

The figure appears to be made up of two rectangular prisms:

1. Top prism with dimensions $2 \, \text{in.} \times 3 \, \text{in.} \times 4 \, \text{in.}$
2. Bottom prism with dimensions $6 \, \text{in.} \times 3 \, \text{in.} \times 7 \, \text{in.}$

To find the total volume:

1. Calculate the volume of the top prism: $V_{\text{top}} = \text{length} \times \text{width} \times \text{height} = 2 \times 3 \times 4 = 24 \, \text{in}^3$

2. Calculate the volume of the bottom prism: $V_{\text{bottom}} = \text{length} \times \text{width} \times \text{height} = 6 \times 3 \times 7 = 126 \, \text{in}^3$

3. Add the two volumes together: $V_{\text{total}} = V_{\text{top}} + V_{\text{bottom}} = 24 + 126 = 150 \, \text{in}^3$

Thus, the total volume of the composite figure is 150 cubic inches.

Would you like further clarifications or have additional questions?

Related Questions:

1. How do you calculate the surface area of this figure?
2. Can this shape be broken into different components for easier calculation?
3. What are the formulas for the volume of other 3D shapes like cylinders or spheres?
4. How would the calculation change if dimensions were in centimeters?
5. How can composite shapes be used in real-life applications?

Tip: Always double-check your dimensions and ensure all units are consistent during volume or area calculations.