Find the slant height of the square pyramid round to the nearest whole inch 12 inch 18 in
To find the slant height of a square pyramid, you can use the Pythagorean theorem.
The slant height connects the apex (top) of the pyramid to the midpoint of one of the sides of the base.
Since the base is a square, the slant height will be the hypotenuse of a right triangle with the side length of the base being one of the legs.
Let's denote the length of the side of the base as a, and the slant height as s.
In this case, the side length of the base is 12 inches, so a = 12 inches.
Using the Pythagorean theorem, we have s² = a² + (a/2)².
Plugging in the values, we have s² = (12)² + (12/2)² = 144 + 36 = 180.
Taking the square root of both sides, we have s = √180 = 13.42 inches.
Rounded to the nearest whole inch, the slant height of the square pyramid is 13 inches.