Answer:
11.25 m
Step-by-step explanation:
Since the volume of a rectangular prism, V = lwh where l = length, w = width and h = depth,
So, l = V/wh
Now, for the length of the community pool, its volume, V = 480 m³, h = 2 m and w = 12 m
So, l = V/wh
= 480 m³/(12 m × 2 m)
= 480 m³/24 m²
= 20 m
Also, for the length, l' of the Shorewood High School pool, its volume, V' = 937.5 m³, its depth, h' = 2.5 m and its width, w' = 15 m
So, l' = V'/w'h'
= 937.5 m³/(15 m × 2 m)
= 937.5 m³/30 m²
= 31.25 m
So, the difference in length of the pools is l' - l = 31.25 m - 20 m = 11.25 m
So, the high school's pool is 11.25 m longer than the community pool.