Question

A square pyramid has a base with a total area of 144m^2 and a volume of 384m^3, what is the slant height of the pyramid?

Answer 1

8m

Explanation:

Volume of a square based pyramid =
`(1)/(3)a^(2)h` where;

a² is the base area of the pyramid since it is square shaped

h is the slant height.

Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;

`384 = (1)/(3)*144h \\cross\ multiplying\ \\384*3=144h\\h = (384*3)/(144) \\h = (1,152)/(144)\\ h = 8m`

The slant height of the pyramid is 8m