SOLUTION: A rectangular pool has its length and breadth as 32 ft and 24 ft. The depth of the pool along one side is 26ft and it linerally decreases to 14 ft on the other side. what is the

Algebra ->  Volume -> SOLUTION: A rectangular pool has its length and breadth as 32 ft and 24 ft. The depth of the pool along one side is 26ft and it linerally decreases to 14 ft on the other side. what is the       Log On


   

Question 102289: A rectangular pool has its length and breadth as 32 ft and 24 ft.
The depth of the pool along one side is 26ft and it linerally decreases to 14 ft on the other side.
what is the volume of the water in the pool..?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The shape of the pool, when seen from one end, is that of a trapezoid.
The dimensions of this trapezoid are:
b%5B1%5D+=+26
b%5B2%5D+=+14
h+=+24
For a trapezoid, the area is given by:
A+=+%28%28b%5B1%5D%2Bb%5B2%5D%29%2F2%29h
You can find the volume of this pool by first finding the area of the trapezoidal-shaped end, then multliplying this by the length of the pool.
V+=+%28%28b%5B1%5D%2Bb%5B2%5D%29%2F2%29h%2AL Where:
L = length of pool = 32ft.
V+=+%28%2826%2B14%29%2F2%29%2A24%2A32
V+=+%2840%2F2%29%2A24%2A32
V+=+20%2A24%2A32
V+=+15360Cubic feet.