Its a cube with dimensions 4 by "x+1" by "x+11" So if you multiply all 3 of these you will get the total volume of 924. So our equation is: 4(x+1)(x+11) = 924 (x+1)(x+11) = 231 x²+12x+11 = 231 x²+12x-220 = 0
Now factor to: (x+22)(x-10) = 0 Thus x = -22 or 10.
Only 10 makes sense here since we can't have a negative length. So x = 10. Now plug in x back into our original expressions to get the dimensions.