MATH!

If the edge of a cube is increased by 50%, then the volume is increased by x%. Find x.

PLEASE HELP.
THANK YOU.


Let Y = edge of a cube.
Y + 0.5Y = 1.5Y = new edge of the cube.

Then old volume is Y^3
New volume is (1.5Y)^3 = 2.375Y^3.

%increase = ([3.375Y^3 - Y^3]/Y^3) x 100 = x%. It looks like 237.5% to me but check it closely.
Try it with 1" cube changing to 1.5".
Or 2" cube changing to 3"
Or 3" cube changing to 4.5". I think all of those are 50% changes but check it out.


55

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  1. 50%, 150%,

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