SOLUTION: Cube A has a surface area that is 125% more than the surface area of cube B. If the volume of cube B is x% less than the volume of cube A, find x to the nearest integer
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Question 334883: Cube A has a surface area that is 125% more than the surface area of cube B. If the volume of cube B is x% less than the volume of cube A, find x to the nearest integer Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Cube A has a surface area that is 125% more than the surface area of cube B. If the volume of cube B is x% less than the volume of cube A, find x to the nearest integer
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125% more --> 2.25 the area
Area is a function of the square of the sides (= 6s^2)
--> sides of A = 1.5*sides of B
Volume is a function of the cube of the sides (= s^3)
--> Volume of A = 3.375*volume of B
Diff in V = VA - VA/3.375
= VA*(1 - 8/27) =~ 0.70*VA
--> The volume of VB is 70% less than the volume of VA
