When the height of the prism doubles, the percentage increase in the volume is 100%
How to determine the percentage increase?
The volume of a prism is:
V₁ = BH
Where:
B represents the base area and H represents the height.
When the height doubles, the volume becomes
V₂ = 2BH
The percentage increase is then calculated using:
%Increase = (V₂ - V₁)/V₁
So, we have:
%Increase = (2BH - BH)/BH
Evaluate
%Increase = 1
Express as percentage
%Increase = 100%
Hence, the percentage increase is 100%
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