The volume of a rectangular prism is 252 cm3. If its width is 5 cm less than its length, and its height is 2 cm less than its length, then what are the dimensions of the prism

Answer 1

Let the length = L

Width = L-5

Height = L-2

Volume = LWH = L(L-5)(L-2) = 252

=> L^3-7L^2+10L-252 = 0

=> L = 9