college algebra
posted by Missy .
a cub measures n inches on each edge. If a slice 1 inch thick is cut from one face of the cube and then a slice 3 inches thick is cut from another face of the cube, the resulting solid has a volume of 1560 cubic inches. Find the dimensions of the original cube.

original side = n
slice = (1)n^2
is the 2nd slice from the other square face, or one of the four nx(n1) faces?
Assuming the latter, lest the problem be too, too trivial, then the 2nd
slice = 3(n)(n1)
n^3  n^2  3n(n1) = 1560
n^3  4n^2 + 3n  1560 = 0
Hmmm. 1560 = 13*12*10
(n13)(n^2 + 9n + 120)
so, n=13
original volume: 2197
1st slice: 13x13 = 169
2nd slice: 3x13x12 = 468
remaining: 1560