Answer:
24 in
Step-by-step explanation:
The volume of a pyramid of base area A and height h is V = (1/3)(A)(h).
It's easiest to solve this for h before plugging in numerical values. Solving for h, we get: 3V = A·h, or
3V
h = -------------
A
With A = 42.5 in² and V = 340 in³, we have
3(340 in³)
h = ---------------- = 24 in
42.5 in²
V = --------------
