Find the slant height of the square prism

To find the slant height of a square prism, we need to know the length of one side of the square base and the height of the prism.

Let's assume the length of one side of the square base is 's' units, and the height of the prism is 'h' units.

Since the square base has four sides of equal length, the slant height can be found by using the Pythagorean theorem, as the slant height forms the hypotenuse of a right triangle.

In this right triangle, one side is 's' (the length of one side of the square base) and the other side is 'h' (the height of the prism). So, the slant height ('l') can be calculated as:

l = √(s^2 + h^2)

Therefore, the slant height of the square prism can be found by taking the square root of the sum of the square of the length of one side of the square base and the square of the height.