A cabinet has external width 1100, height 1050 and depth 460, all mm. Two full-height sides are 18 mm thick. Top and bottom fit between the sides and each has that thickness. An inset back of 6 mm thickness fills the internal opening and takes up depth. A shelf fits between the sides with 2 mm total width clearance and ends flush against the inset back. Ignore joints, grooves and edge banding.
Calculate the unpartitioned internal volume in cubic metres. Keep intermediate values unrounded; round the final answer to 4 decimal places if needed.
