Answer: In a rectangular pyramid, the "length of s" usually refers to the slant height (sometimes denoted as "s" or "l_s") of one of the triangular faces of the pyramid. To find the slant height, we can use the Pythagorean theorem.
Given:
Length of the pyramid (l) = 30
Width of the pyramid (w) = 20
Height of the pyramid (h) = 28
Let's consider one of the triangular faces of the pyramid. The slant height (s) is the hypotenuse of a right triangle, with the base and height of the triangle being the dimensions of the rectangular base (l and w).
Using the Pythagorean theorem, we have:
s^2 = l^2 + w^2
Substitute the given values:
s^2 = 30^2 + 20^2
s^2 = 900 + 400
s^2 = 1300
Now, solve for "s":
s = √1300
s ≈ 36.06 (rounded to two decimal places)
The length of the slant height (s) is approximately 36.06 units.