The lateral edge of the regular prism 9 is the diagonal of the lateral face 15 find the area of the lateral.

The side face is a rectangle. Consequently, its area is equal to the product of height and width.
Let’s find the 2nd dimension of the prism through the Pythagorean theorem: 25 ^ 2 = 9 ^ 2 + x ^ 2; x ^ 2 = 225 – 81, x ^ 2 = 144; x = √144; x = 12.
We multiply the height and length and we get the answer: 9 * 12 = 108.
Answer: 108.