Answer:
L = 17 m
Step-by-step explanation:
The formula for the volume of a rect. prism of length L, width W and height H is V = L*W*H. Here we are given certain values (W and H) and are asked to find the third value (L).
Solving V = L*W*H for L, we get
V
L = ----------
W*H
Subst. 2830.5 m³ for V, 18.5 m for W and 9 m for H. This results in:
2830.5 m³
L = -------------------- = 17 m
(18.5 m)(9 m)
The length of this prism is 17 m.