2019 RGS Y1 EYA Q12

The wooden block \(ABCDEFV\) is made up of a rectangular-based pyramid and a triangular-based prism. \(ABCD\), \(ABFE\) and \(CDEF\) are rectangles with \(AB=25\text{ cm}\), \(DE=19\text{ cm}\). The vertical height of triangle \(ADE\) is \(12\text{ cm}\) and the vertical height of the wooden block is \(48\text{ cm}\). Find the volume of the solid.[3]