Here a little how to increase the dimension of VBox machine Hard Disk (ubuntu guest and host):
1. on a terminal host execute this command:
$VBoxManage modifyhd 'YOUR_VDI_LOCATION' --resize SIZE_IN_MEGABYTES
tips: for the size in megabyte go to Google and type your desired size in gigabyte to be converted to megabyte. For example: 10 GB = MB –> the result should be 10240.
(font: http://askubuntu.com/)
2. then I needed to physically expand the partition of the virtual disk. To do this I used the software “gparted” in the guest machine running a live CD version of my distro.
For further information take a look here
(font: http://trivialproof.blogspot.it/)