The density change by a factor of 0.125 if the dimensions is increased by a factor of 2
Density is the ratio of mass to the volume. It is given by:
Density (D) = mass (m) / volume (V)
Volume (V) = length (l) * width (w) * height (h)
V = lwh
D = m/lwh
If the dimensions increased by a factor of 2:
V = 2l * 2w * 2h = 8lwh
The new density (D')
D' = m / (8lwh)
D' = 0.125D
The density change by a factor of 0.125 if the dimensions is increased by a factor of 2
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