Answer:
the slant height of the pyramid = 8.54 in
Explanation:
The slant height, height and half of the side of square makes a right angle triangle in a square base pyramid.
Let slant height be l, then 3(base), 8(perpendicular) and l(hypotenuse) make a right angle triangle.
Therefore by Pythagoras principle
l^2 = 8^2+ 3^2
⇒l = √(64+9) = √73
l = 8.54 in
the slant height of the pyramid = 8.54 in