Rectangle 8ft wide, 12ft long. depth is 4ft sloping to 6ft. what is the volume of water needed to fill it?

Question

Rectangle 8ft wide, 12ft long. depth is 4ft sloping to 6ft. what is the volume of water needed to fill it?

Answer 1

the person before me has a perfect answer. The only thing I can really improve upon is 480 cu feet = 3,590 gallons of water. That, and if the pool is 4 feet in height, you'll only fill it up to  about 3'6'' or so. So assuming you didn't already calculate that in, then it'll be a little less than 3600 gallons.

Answer 2

Imagine a side view of the pool. It's a rectangle 4 ft high with a triangle beneath it that is 2 ft on one side.

__________12 ft_________

|                                                

|    4 ft                                        

|                                                

|______________________

|                                                

|     2 ft                                  

The area of the 4 ft section is 4 x 12 = 48 sq ft

The volume of the 4 ft section = area x width = 48 x 8 = 384 cu ft

The area of the triangle is 1/2 x 12 x 2 = 12 sq ft

The volume of the "wedge" = area x width = 12 x 8 = 96 cu ft

So the total volume is the two volumes added together:

384 + 96 = 480 cu ft