SOLUTION: What is the length of the edge of a cube if, after a slice 2 inches thick is cut from one side, the volume remaining is 75 cubic inches?
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Question 752760: What is the length of the edge of a cube if, after a slice 2 inches thick is cut from one side, the volume remaining is 75 cubic inches? Answer by sachi(548) (Show Source):
You can put this solution on YOUR website! let the cube has edges x in
so the volume= x^3
2 in is cut from one side
so the new volume=(x-2)*x^2
as per question
x^3-(X-2)*x^2=75
or x^3-x^3+2x^2=75
or 2x^2=75
or x^2=75/2=37.5
or x=sqrt(37.5)=19.37 in
