Answer:
Below.
Step-by-step explanation:
First find the perpendicular height of the pyramid.
The median of one of the faces, the height and and half the length of the square base make a right triangle with base 2 and hypotenuse 5, so using the Pythagoras theorem:
5^2 = 2^2 + h^2
h^2 = 5^2 - 2^2 = 21
h = √21 inches.
The volume of the pyramid V = 1/3 * h * area of the base, so
V = 1/3 * 4^2 * √21
= 24.44 in^3 to nearest hundredth.
