Math Question..(thank you)

Question

Pam has a box shaped lap pool with a width that is twice its depth and length that is twelve times its depth. The volume of water in the pool is no more than 1,700 cubic feet.

Answer 1

W= 2D

L = 12D

WDL = 1700

2D(D)(12D) = 1700

24D^3 = 1700

D^3 = 1700/24

D= cube root of 1700/24 =about 4.14 feet deep

W= about 8.28 feet Wide

L = 12(4.14) =about 49.65 feet Long

those are maximum, upper bounds for the dimensions