Question

A rectangular pool is 20 meters wide, 50 meters long, and 5 meters deep. At 95% of its capacity, how many gallons will it hold if 3.5 meters holds 2 gallons?

A. 9,500 gallons
B. 9,000 gallons
C. 8,500 gallons
D. 8,000 gallons

Answer 1

To find the number of gallons the pool will hold at 95% of its capacity, multiply the volume of the pool by the conversion factor from cubic meters to gallons and then multiply by 0.95.

Step-by-step explanation:

To find the number of gallons the pool will hold at 95% of its capacity, we first need to find the volume of the pool. The volume of a rectangular pool is found by multiplying its length, width, and depth. In this case, the volume is 20 meters (width) * 50 meters (length) * 5 meters (depth), which equals 5000 cubic meters.

Next, we need to convert the volume from cubic meters to cubic gallons. Since 1 cubic meter is equal to 264.172 gallons, we can multiply the volume by this conversion factor to get the volume in gallons. In this case, the pool will hold 5000 cubic meters * 264.172 gallons/cubic meter, which equals 1,320,860 gallons.

Finally, to find the number of gallons the pool will hold at 95% capacity, we can multiply the total volume by 0.95. So, 1,320,860 gallons * 0.95 is approximately 1,254,817 gallons. Therefore, the pool will hold approximately 1,254,817 gallons at 95% of its capacity.