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kari74 [83]
3 years ago
14

Each of the four sides of a swimming pool measures 12 meters the pool is 6 meters deep how much water will be needed to fill it

completely
Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

It will need 864 meters³ of water to fill it completely

Step-by-step explanation:

The formula of the volume of a prism is V = B h, where

  • B is the area of its base
  • h is the length of its height

The swimming pool is shaped a prism

∵ The length of each side of the four sides is 12 meters

- That means its base is shaped a square with side length 12 meters

∵ Area of a square = (side)²

∴ The area of the base of the swimming pool = (12)² = 144 meters²

∴ B = 144

∵ The pool is 6 meters deep

- That means its height is 6 meters

∴ h = 6

The volume of the water in the swimming pool is equal to the volume of the swimming pool because it will be needed to fill completely

∴ The volume of the water = B h

∴ The volume of the water = 144(6)

∴ The volume of the water = 864 meters³

It will need 864 meters³ of water to fill it completely

Learn more:

You can learn more about the volume of solids in brainly.com/question/12497249

#LearnwithBrainly

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