Check extent() if you want to trim the brick with a smaller rectangle. Also drawExtent() if you prefer to select by clicking.
EDIT: Since you used the terms "cut" and "mask", I'm not sure I understood correctly, but here are two ways that might help. You can even use both.
# an example with dimensions: 77, 101, 3 (nrow, ncol, nlayers) myGrid_Brick <- brick(system.file("external/rlogo.grd", package="raster"))
source share