A regular right square pyramid has a base side of 8 cm. An insect crawls from a base corner to the midpoint of an opposite slant edge along the surface by the shortest route. If the perpendicular height of the pyramid is 15 cm, find the slant height.
Show answer & explanation
Correct answer: B
Explanation
Given:
Base side = 8 cm
Perpendicular height = 15 cm
According to the formula:
Slant height = √(h² + (a/2)²)
a/2 = 8/2
= 4
Slant height = √(15² + 4²)
= √(225 + 16)
= √241
= 15.52 cm