From the image, we are solving for the surface area (SA) and volume of a rectangular prism with the following dimensions:

• Length $l = 11 \, \text{mm}$
• Width $w = 4 \, \text{mm}$
• Height $h = 18 \, \text{mm}$

1. Volume Formula:

The volume of a rectangular prism is given by: $V = l \times w \times h$ Substitute the values: $V = 11 \times 4 \times 18 = 792 \, \text{mm}^3$

So, the volume is: $\boxed{792 \, \text{mm}^3}$

2. Surface Area (SA) Formula:

The surface area of a rectangular prism is given by: $SA = 2(lw + lh + wh)$ Substitute the values: $SA = 2\big( (11 \times 4) + (11 \times 18) + (4 \times 18) \big)$ Calculate each term: $11 \times 4 = 44, \quad 11 \times 18 = 198, \quad 4 \times 18 = 72$ Add these: $44 + 198 + 72 = 314$ Multiply by 2: $SA = 2 \times 314 = 628 \, \text{mm}^2$

So, the surface area is: $\boxed{628 \, \text{mm}^2}$

Final Answer:

• Volume: $\boxed{792 \, \text{mm}^3}$
• Surface Area: $\boxed{628 \, \text{mm}^2}$

Would you like a step-by-step breakdown of the formulas? Let me know!
Here are related questions to practice:

1. How do you find the surface area and volume of a cube?
2. If one dimension of the rectangular prism is doubled, how does it affect the volume?
3. What happens to the surface area if all dimensions are halved?
4. How can we convert the volume into cubic centimeters (cm³)?
5. What is the difference between lateral surface area and total surface area for a prism?

Tip: Always check the units carefully when solving geometry problems.