The base of the square pyramid shown has an area of 576 square units. If the slant height of the pyramid is 20 units, what is the height of the pyramid?

18 units

13.4 units

16 units

31.2 units

Option C - 16 units

Step-by-step explanation:

Since the base is a square and it has an area of 576 sq. units, thus, if the side length of the base is x, then;

x² = 576

x = √576

x = 24

To get the height, we will divide this side length by 2 and use Pythagoreas Theorem.

Since, we are told that the pyramid has a slant height of 20 units,

So using pythagoras theorem, we can find the height of the pyramid as;

h² = 20² - (24/2) ²

h² = 400 - 144

h² = 256

h = √256

h = 16 units