The following 3-D object is composed of identical cubes. The volume of the 3-D object is 56cm cubed. The surface area of the 3-D object is a) 30cm squaredb) 60cm squaredc) 120cm squaredd) 144cm squared

[SOLVED] The following 3-D object is composed of identical cubes. The volume of the 3-D object is 56cm cubed. The surface area of the 3-D object is a) 30cm squaredb) 60cm squaredc) 120cm squaredd) 144cm squared
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There are 7 equal cubes by inspection that make up the shape.Each cube has a volume of: (56 cm^3)/7 = 8 cm^3To find side dimension of cube (knowing a cube is the 3D extrusion of a square meaning all sides are equal:s = (side dimension) = (8 cm^3)^(1/3) = 2 cmAlso by inspection, there are 5 exposed faces on 6 of the 7 cubes. To find the total surface area, multiply number of exposed faces per cube by the surface area of a single face:S.A. = 5(6)(2*2) = 120 cm^2The correct answer is C). 120cm squared