Question

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

Answer 1

8m

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