A swimming pool 75 ft. long and 30 ft. wide is filled to an average depth of 6 ft. If 7.5 gal occupy 1 cu. ft. the number of gallons the pool contains is:
(75 * 30 * 6 )ft^3 * 7.5 gal/ft^3
To find the number of gallons the pool contains, we need to calculate its volume first. The volume of a rectangular swimming pool is given by the formula:
Volume = Length × Width × Depth
Given:
Length = 75 ft
Width = 30 ft
Average depth = 6 ft
Substituting the values into the formula:
Volume = 75 ft × 30 ft × 6 ft
To convert cubic feet (ft³) to gallons (gal), we know that 1 cubic foot is equal to 7.5 gallons. Therefore, we can multiply the volume in cubic feet by 7.5 to convert it to gallons.
Now we can calculate the number of gallons:
Volume (in cubic feet) = 75 ft × 30 ft × 6 ft = 135,000 ft³
Number of gallons = Volume × 7.5 = 135,000 ft³ × 7.5 gal/ft³
Multiplying the two values:
Number of gallons = 1,012,500 gallons
Therefore, the swimming pool contains approximately 1,012,500 gallons of water.