Answer
The dimensions are 6 in by 6 in by 20 in. The volume is 720 in$^3$.
Work Step by Step
h=height
s=side of the base
h=3s+2
480=4(3s+2)(s)
480=12s$^2$+8s
3s$^2$+2s-120=0
(3s+20)(s-6)=0
s=6
h=3(6)+2
h=20
V=h(s$^2$)
V=20(36)
V=720