Here is my word problem:

SWIMMING POOL You are designing a rectangular swimming pool that is to be set into the ground. The width of the pool is 5 feet more than the depth, and the length is 35 feet more than the depth. The pool holds 2000 cubic feet of water. What are the dimensions of the pool?

2. Originally Posted by runner940
Here is my word problem:

SWIMMING POOL You are designing a rectangular swimming pool that is to be set into the ground. The width of the pool is 5 feet more than the depth, and the length is 35 feet more than the depth. The pool holds 2000 cubic feet of water. What are the dimensions of the pool?

$2000 = d(d+5)(d+35)$, $2000 = (d^2+35)(d+5) = d^3 +5d^2 + 35d + 175$ and so $d^3 + 5d^2 + 35d - 1825 = 0$