Explanation:
Surface area is found by adding up all the areas of the different figures. When there are multiple figures of the same dimensions, you can just multiply them by the number of their amount.
The areas you'll be using for the triangular prism are:
![a = (1)/(2) bh](https://img.qammunity.org/2021/formulas/mathematics/middle-school/56wluvnyyx3qdwy4bvry0h9zz1yfu2unr1.png)
and
![a = lw](https://img.qammunity.org/2021/formulas/mathematics/middle-school/c3u2i5kyhfxi2kv0ymokpticvgzowye1x5.png)
since there are both rectangles and triangles in this figure.
Using the prism, then, it's time to make a formula.
![2( (1)/(2) bh) + 2(lw) + lw](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wahc5nvn2amrizgtoodwc843gls3wcy9kn.png)
I put a 2 in front of the triangle's area because there are 2 triangles in this prism.
There's a 2 in front of the side of the triangle's area (it's a rectangle) because it has two sides.
That last lw doesn't have a number on it because it's for the base, and this prism only has one base.
Now, use the dimensions that are given to you to substitute.
![2( (1)/(2) )(14)(24) + 2(10)(25) + (10)(14) \\ 336 + 500 + 140 \\ 836 + 140 \\ 976](https://img.qammunity.org/2021/formulas/mathematics/middle-school/met5o3hji6tykgi3pmm9lncenwx6l7vloh.png)
So, 976cm^2 is your area.
Answer:
![976 {cm}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ckajykjsfdux09l7x4wf4699tu7ci65dni.png)