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.
+36916 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
