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Wyatt is joining the Shorewood Sharks swim team. He has been taking swimming lessons for several years at the community pool. The community pool is shaped like a rectangular prism and holds 480,000 liters, or 480 cubic meters, of water. It is 12 meters wide and 2 meters deep. The Shorewood Sharks practice in the pool at Shorewood High School. The high school's pool is also shaped like a rectangular prism. It is 15 meters wide, 2.5 meters deep, and holds 937,500 liters, or 937.5 cubic meters, of water. How much longer is the high school's pool than the community pool? Write your answer as a whole number or decimal. Do not round.

Respuesta :

oladayoademosu

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.