problem: report error a rectangular swimming pool has the same depth everywhere. the combined surface area of the floor of the pool and the four sides is square feet. what is the maximum volume of the swimming pool in cubic feet?



Answer :

The maximum volume of the pool is l*w*h, where l stands for the length, w stands for the width and h  stands for the height.

Considering  l be the length,  b be the width and h be the depth of the pool, since a pool is a shape of cuboid and the surface area of  a 3-dimensional shape is  the sum of the areas of all  its faces or we can say surfaces, since here one of for a  pool the upper is hollowed, the combined surface area of the floor of the pool and the four sides is:

= 2lh+2hw+lw ,

and the volume is the amount of space occupied by the particular object. So the maximum volume of the swimming pool in cubic feet will be

= l *w*h

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