This figure represents a rectangular prism. To calculate its surface area, we will use the formula for the surface area of a rectangular prism:

$SA = 2lw + 2lh + 2wh$

Where:

• $l$ = length
• $w$ = width
• $h$ = height

From the image, we have the dimensions:

• $l = 15 \, \text{in}$
• $w = 10 \, \text{in}$
• $h = 10 \, \text{in}$

Now, substitute these values into the formula:

$SA = 2(15 \times 10) + 2(15 \times 10) + 2(10 \times 10)$ $SA = 2(150) + 2(150) + 2(100)$ $SA = 300 + 300 + 200$ $SA = 800 \, \text{in}^2$

So, the surface area of this rectangular prism is 800 square inches.

Let me know if you'd like further clarification!

Here are some related questions for your reference:

1. How do you convert square inches to square centimeters?
2. What is the difference between surface area and volume of a rectangular prism?
3. How does changing the dimensions of the rectangular prism affect its surface area?
4. Can you calculate the surface area of a cube using the same formula?
5. How would the surface area formula change for a triangular prism?

Tip: Always check if you need to convert units (inches to centimeters or other) before doing your calculations.