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When 88 cubes are rearranged to form the cube-sphere in the diagram, their total surface area decreases by 384.

Find the total surface area of the cube-sphere.

 

 Jan 12, 2020
 #1
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The object shown is made up of 88 cubes

    surface area of EACH side of each cube = a

 

Surface area of 88 cubes =   6 * 88 * a

 

Surface area of object shown = 4 x 4 x 4 x a  PLUS  8 x 6 x a

6* 88 *a  - 384  = 4 x 4 x 4 x a + 8 x 6 x a

528a - 384 = 112a

416a = 384

a = .923076

 

112 a = 103.38  units^2

 Jan 12, 2020

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