The question in the image asks to "Find the volume of the rectangular solid" shown in the diagram, which appears to be composed of two smaller rectangular prisms.

Steps to solve:

1. Break the solid into two parts:

   • Part 1: A rectangular prism with dimensions:
     • Length = 10 cm
     • Width = 6 cm
     • Height = 3 cm
   • Part 2: A second rectangular prism with dimensions:
     • Length = 7 cm
     • Width = 7 cm
     • Height = 4 cm

2. Find the volume of each part:

   • Volume of Part 1 = $\text{Length} \times \text{Width} \times \text{Height}$ $V_1 = 10 \times 6 \times 3 = 180 \, \text{cm}^3$
   • Volume of Part 2 = $7 \times 7 \times 4$ $V_2 = 7 \times 7 \times 4 = 196 \, \text{cm}^3$

3. Add the volumes of both parts to get the total volume: $V_{\text{total}} = 180 + 196 = 376 \, \text{cm}^3$

The total volume of the solid is 376 cm³.

Let me know if you'd like more details or explanations on this! Here are some related questions to explore:

1. How would you calculate the surface area of this composite shape?
2. What is the difference between volume and surface area?
3. Can the formula for volume be applied to any 3D shape?
4. How do units change when calculating volume versus area?
5. How would the calculation change if the dimensions were given in meters?

Tip: When working with composite shapes, always break them into smaller, manageable parts to simplify volume calculations.