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.
The original dimesions are: 4cm x 11cm x 21cm
Ta-dah!
