Find the slant height of the square pyramid. Round to the nearest whole inch, if necessary. (1 point) Numbers are 7in as height and 16in as width
Responses 17 in. 17 in.
8 in. 8 in.
11 in. 11 in.
6 in.
To find the slant height of a square pyramid, you can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height (7in) and half the width (8in).
Using the Pythagorean theorem:
slant height^2 = height^2 + (1/2 * width)^2
slant height^2 = 7^2 + (1/2 * 16)^2
slant height^2 = 49 + 64
slant height^2 = 113
Taking the square root of both sides, we get:
slant height = √113
Rounding to the nearest whole inch, the slant height is approximately 11 inches.
So the correct answer is 11 in.