Search
Close this search box.
Search
Close this search box.

square pyramid vertical height

question: square pyramid vertical height


pyramid with square base: The side of a square base is 42 inches, the slant height is 32 inches. 

Find the vertical height and the volume!

 

answer: square pyramid vertical height


1. step: given/wanted

side a = 42 inches

slant height (hs) = 32 inches

wanted: vertical height (hv) and volume!

 

2. step: calculate

vertical height = hs² – (a/2

vertical height = (32² – 21²)

vertical height = 24,15 inches

 

volume = a² * hv : 3

volume = 42² * 124,15 : 3

volume = 73 000,2 in3