question: square pyramid slant height
pyramid with square base: The side of a square base is 16 feet, the vertical height 12 feet.
Find the slant height and the volume!
answer: square pyramid slant height
1. step: given/wanted
side a = 16 feet
vertical height (hv) = 12 feet
wanted: slant height (hs) and volume!
2. step: calculate
slant height = √hv² + (a/2)²
slant height = √(12² + 8²)
slant height = 14,42 feet
volume = a² * hv : 3
volume = 16² * 12 : 3
volume = 1 024 ft3