Problema Solution
The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches, what are the dimensions of the bin?
Answer provided by our tutors
the dimensions of the bin can be written as
x-1, x and x+1 where x is integer, and x-1>=0 that is x>=1
the volume of the bin is 4896
(x-1)x(x+1) = 4896
on the other had 4896 = 16*17*18
(x-1)x(x+1) = 16*17*18
thus the dimensions are 16, 17 and 18 inches.