One more cube was glued to each face of the cube (V = 8 cm3). Find the surface area of the resulting structure

Find the edge of the cube.

a = ³√8 cm³ = 2 cm.

Let’s find the surface area of one house. It is equal to the area of one face multiplied by the number of faces, and a cube has 6 faces.

S = 6 * (2 cm * 2 cm) = 24 cm²

Let’s calculate the surface area of six added cubes and subtract from the resulting sum the surface area of one cube that borders on the added ones.

S = 6 * 24 cm² – 24 cm² = 120 cm².

Answer: 120 cm².