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

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid = $\frac{1}{3}a^{2}h$ 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;

$384 = \frac{1}{3}*144h \\cross\ multiplying\ \\384*3=144h\\h = \frac{384*3}{144} \\h = \frac{1,152}{144}\\ h = 8m$

The slant height of the pyramid is 8m