Nine times the original volume
Step-by-step explanation:
Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.
The volume of the rectangular prism is given by,
V = W x l x h
The original volume of the rectangular prism is,
V = wlh
Here the length is 1.5 the original length
So, l = 1.5 x l = (1.5l)
And the with is doubled. So,
W = 2W
The height is tripled. So,
h = 3h
Volume of the new rectangular prism is,
V = (1.5l) (2w) (3h)
V = 9 wlh
We know that wlh is the original volume of the rectangular prism.
So the new volume is 9 times the original volume.
