Question

A swimming pool is 50 meters long and 25 meters wide. The adjustable bottom of the pool can be up to 3 meters deep for competition and as shallow as 0.3 meters deep for recreation. The pool was filled to the recreational level, and then the floor was lowered to the competition level. If the volume of a liter of water is 0.001 cubic meter, how much water had to be added to fill the pool?

Answer 1

the pool has different volumes depending on whether it's being set for recreation, or competition. it is essentially asking for the difference in volume between the two settings.

think of the pool as a giant rectangular prism. volume of rectangular prism = L*W*H

since the height is the only thing that's being changed, you can think of the change in volume as

L * W * (change in height)

that'll give you the change in volume in cubic meters. it gives you the conversion factor 0.001 cubic meter = 1 L, so you can divide your volume by 0.001 to get to L