To find the total surface area of prism A, we need to first understand the type of prism it is and the dimensions provided (5, 7, 24, and 25).

Typically, a prism's surface area is calculated by adding the areas of its two parallel bases and the areas of the lateral faces. For a rectangular prism, the surface area is given by:

$\text{Surface Area} = 2lw + 2lh + 2wh$ where $l$, $w$, and $h$ are the length, width, and height of the prism, respectively.

However, from the dimensions you've provided (5, 7, 24, and 25), it seems that these could represent different aspects of the prism—potentially the side lengths of its faces. I will need to assume a few things to proceed:

• If this is a rectangular prism, I will assume that the dimensions 5, 7, and 24 represent the length, width, and height.
• Alternatively, if the numbers 25 might be part of the problem description, that could represent a diagonal or another aspect of the prism, but I'll begin with the assumption of a rectangular prism first.

Let’s calculate the surface area with $l = 5$, $w = 7$, and $h = 24$.

$\text{Surface Area} = 2lw + 2lh + 2wh$

Substituting the values:

$\text{Surface Area} = 2(5)(7) + 2(5)(24) + 2(7)(24)$

$\text{Surface Area} = 2(35) + 2(120) + 2(168)$

$\text{Surface Area} = 70 + 240 + 336$

$\text{Surface Area} = 646$

Thus, the total surface area of the prism is 646 square units.

If this isn't the exact form you meant, or if you have more context or different interpretations of the dimensions (for example, if 25 refers to something else), let me know, and I can adjust the solution!

Would you like a more detailed explanation or help with another question? Here are some related questions:

1. How do we calculate the surface area of other types of prisms, such as triangular prisms?
2. How does the concept of lateral surface area differ from total surface area?
3. What if the prism is a triangular prism—how would we calculate its surface area?
4. How does the formula for surface area change for a cylinder or a sphere?
5. Can we calculate the volume of the prism using these dimensions?

Tip: Always make sure to check the shape of the prism and the provided dimensions before applying formulas, as these are key to getting the correct result!