The possible dimensions of the original prism is 3 by 3 by 1
How to determine the possible dimensions?
The given parameters are:
New volume = 576
Scale factor, k = 4
The old volume is calculated using:
Old * k³ = New
So, we have:
Old * 4³ = 576
Divide both sides by 4³
Old = 9
The volume of a prism is:
Volume = Length * Width * Height
So, we have:
Length * Width * Height = 9
This means that the product of the dimensions must equal 9.
Hence, the possible dimensions of the original prism is 3 by 3 by 1
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