Volume of the rectangular prism is 2048 cm^3
volume of a rectangular prism is V=lwh
where l= length of rectangular prism
w= width of rectangular prism
and
h=height of rectangular prism
now length is 8 times of heigth. Thus l=8h
width is 4 times of the heigth.Thus w=4h
V=24h^3
Given that AG=36
we know from Pythagorean theorem that AG^2=AC^2+CG^2
again AC^2=AB^2+BC^2=(8h)^2+(4h)^2=80h^2
Thus 1296=80h^2+h^2=81h^2
h^2=16
h=4
V=lwh= 8*4*4*4*4 cm^3= 2048 cm^3
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