Answer :
The volume is the product of the area of the top of the pool and the
height of water added which is approximately 8,062 liters.
Response:
- The volume of water Jill needs to add is 8,062 liters
- The volume in gallons is 2,129.8 gallons.
How to calculate volume of solids ?
The volume of a solid is used to determine how much space it takes up. The measurement is the number of unit cubes needed to completely fill the solid. The solid has a total of 30 unit cubes, hence its volume is 2 units. 30 cubic units in 3 units, from 5 units.
Calculation
The given dimensions of the pool are;
Width of the pool = 16.3 feet
Length of the pool = 26.2 feet
Height of water to be added = 8 inches
Required:
The volume of water to be added in liters
Solution:
First part
1 feet = 12 inches
8 inches = 8/12 feet = 2/3 feet
Therefore;
Volume of water added is therefore;
Volume, V = Length × Width × Depth
V = 16.3 x 26.2 x 2/3 = [tex]284\frac{53}{75}[/tex]
Therefore;
The volume added, V = [tex]284\frac{53}{75}[/tex] ft.³
1 ft.³ = 28.31685 L
Therefore;
[tex]284\frac{53}{75} ft^{3}[/tex] = [tex]284\frac{53}{75}[/tex] x 28.31685 ≈ 8062 L
The volume of water that Jill needs to add to her pool is approximately 8062 L.
Second part
1 L = 0.264172 gallons
8062 L = 8062 × 0.264172 gallons ≈ 2129.8 gallons
The volume of water added to the pool in gallons is approximately 2,129.8 gallons
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