The image provided shows a problem involving a rectangular prism (box) with dimensions labeled. Since the image is partially visible, I'll do my best to interpret and solve the problem based on the visible content.

Problem Interpretation:

From the visible content of the image, it looks like we need to calculate the surface area and/or volume of the rectangular prism.

Let's break down the typical steps required for such a problem:

Step 1: Identify the Given Dimensions

The image shows a rectangular prism with the following visible dimensions:

• Length (l) = 7 cm
• Width (w) = 3 cm
• Height (h) = 2 cm

Step 2: Surface Area of the Rectangular Prism

The surface area $A$ of a rectangular prism can be calculated using the formula: $A = 2lw + 2lh + 2wh$ Substituting the given values: $A = 2(7 \times 3) + 2(7 \times 2) + 2(3 \times 2)$ $A = 2(21) + 2(14) + 2(6)$ $A = 42 + 28 + 12 = 82 \text{ square centimeters}$

Step 3: Volume of the Rectangular Prism

The volume $V$ of the rectangular prism can be calculated using the formula: $V = l \times w \times h$ Substituting the given values: $V = 7 \times 3 \times 2 = 42 \text{ cubic centimeters}$

Final Results:

• Surface Area = 82 square centimeters
• Volume = 42 cubic centimeters

Would you like more details or have any questions about this solution? Here are some related questions you might consider:

1. How would the surface area change if the height was doubled?
2. What is the length of the diagonal of the rectangular prism?
3. How does the volume change if all dimensions are doubled?
4. What if one of the dimensions is halved? How does that affect the volume and surface area?
5. Can the surface area be calculated differently if only partial dimensions are known?

Tip: Remember that understanding the relationship between dimensions and their effects on volume and surface area is crucial when dealing with 3D shapes.