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 squared b) 60cm squared c) 120cm squared d) 144cm squared

There are 7 equal cubes by inspection that make up the shape.
Each cube has a volume of: (56 cm^3)/7 = 8 cm^3
To 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 cm
Also 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^2
The correct answer is C). 120cm squared

Answered by Anonymous | 2024-06-10

The question cannot be answered accurately without more information about the arrangement of the cubes in the 3-D object. The total combined surface area of 56 individual cubes is 336 cm², but this is not the correct outer surface area of the 3-D object. Since internal faces do not count towards the surface area, the correct answer requires a known configuration of the cubes. ;

Answered by asinghasingh07 | 2024-06-24

The surface area of the 3-D object cannot be accurately determined without knowing the arrangement of the cubes. While the total surface area of all individual cubes sums to 336 cm², only the outer faces count towards the surface area. Based on common cube arrangements, a possible surface area could be lower, like 60 cm², but this cannot be confirmed without further information.
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Answered by asinghasingh07 | 2024-12-16