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.

Guest Jan 12, 2020

#1**+2 **

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

ElectricPavlov Jan 12, 2020