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Sally has a cube of side length s units such that the number of square units in the surface area of the cube equals 1/6 of the number of cubic units in the volume. She also wants to make a square for which the number of square units in the area of the square is equal to the number of cubic units in the volume of the cube. What should the side length of the square be?

Guest May 31, 2018
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Volume of cube = s x s x s

Area of cube = s x s x 6 = 1/6 volume = 1/6 s^3

  sooo    6s^2 = 1/6 s^3       divide by  s^2

              6 = 1/6 s               multiply by 6

              36 = s

 

Square area =  36 x 36 x 36 = l x l       solve for l = 216 units

ElectricPavlov  May 31, 2018

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