It is not possible to answer the question. A gallon is a measure of volume in 3-dimensional space. The question provides information in only 2 dimensions so there simply is not enough information.
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how many gallons of water does a swimming pool 15 feet by 4 feet deep hold
Can't determine this without a third measurement.
Assuming the dimensions given are in feet, multiply length x width x depth to find the volume (cu ft) of the pool and multiply by the number of gallons of water per cu ft (7.481). V = 40 x 20 x 5 = 4000 cu ft x 7.481 = 29924 gallons
The volume is (16' x 32' x 7') = 3,584 cubic feet = 26,810.18 gallons (rounded)We have no way of knowing how much water is in it.It might even be empty.
15070 gallons