Answer:
Option choice C: 1944 cm^3
Step-by-step explanation:
First calculate the volume of the square, because the pyramid has to have a smaller volume then the square.
squares volume> pyramids volume
Volume of the cube = 16^3 = 4096 cm^3
Anwser choice A is greater then the volume of the cube (5832 cm^3>4096 cm^3) and so we know it is not anwser choice A.
Next we are going to calculate the volume of a square pyramid with height=18, and side=18
Volume = 1/3 a^2h
a (base edge)= 18
a (height)= 18
V= (1/3)x(18^2)x(18)
V= 1944 Feet squared
This means that the max volume of the square pyramid is 1944 feet squared!
Option choice C: 1944 cm^3
