find the slant height of the square pyramid round to the nearest whole inch of necessary 12 IN 18 IN
To find the slant height of a square pyramid, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height of the pyramid and half the length of the base.
The base of the pyramid is a square, which means that its length and width are equal. Therefore, half the length of the base is 18 inches / 2 = 9 inches.
Now we can use the Pythagorean theorem to find the slant height:
slant height^2 = height^2 + (0.5 * base length)^2
slant height^2 = 12^2 + 9^2
slant height^2 = 144 + 81
slant height^2 = 225
slant height = √225
slant height = 15 inches
So, the slant height of the square pyramid is 15 inches.