Answer:
C
Step-by-step explanation:
Two pyramids are similar. It means that their side lengths are proportional.
So, let's see the proportionality constant from SMALL PYRAMID to LARGE PYRAMID.
The corresponding length of 8 in small pyramid is 24 in large pyramid. We ask ourself: "8 times WHAT gives us 24?"
This is the proportionality constant (aka "k").
So, 8 times "3" is 24. So the proportionality constant is "3".
k = 3
Now, the height of small pyramid is 6 and height of large pyramid is "x". These sides will be same way proportional. So, we can say:
6 times the proportionality constant (3) would give us x
So,
6 * 3 = x
x = 18
Correct answer is C
