Find the slant height of the square pyramid with inches of 12 at top and 18 at bottom. Round to the nearest whole inch, if necessary.
(1 point)
The slant height of a square pyramid can be found using the Pythagorean Theorem. The two legs of the right triangle formed are the height of the pyramid and the difference in lengths of the sides of the base (in this case, 18 - 12 = 6).
Using the Pythagorean Theorem, we have:
Slant height^2 = height^2 + difference in base lengths^2
Slant height^2 = 6^2 + 12^2
Slant height^2 = 36 + 144
Slant height^2 = 180
Taking the square root of both sides:
Slant height = √180 ≈ 13.42 inches
Rounding the result to the nearest whole inch, the slant height of the square pyramid is 13 inches.