A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Question

asked Apr 20, 2021 104k views

1 Answer

Warren Nocos · Answer 1 · 2021-04-24T08:58:31+0000

Answer:

Explanation:

Volume of a square based pyramid is expressed as
V = a^(2) (h)/(3) where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant height;

$384 = 144*(h)/(3)\\ 1152 = 144h\\h = (1152)/(144) \\h = 8m$

The slant height of the pyramid is 8m