A cube consists of twenty-seven 2 × 2 × 2-inch small cubes. One of the corner cubes on the edge of the top layer fell off. Which statement is true about the surface area of the resulting solid?

Respuesta :

4. It is the same as the surface area of the original cube.

Explanation:

The complete question is written in a comment above. So the correct option is fourth. We know that a cube is a three-dimensional shape that has six equal faces. From this problem, we know that a cube consists of twenty-seven 2 × 2 × 2-inch small cubes. Moreover, one of the corner cubes on the edge of the top layer fell off. The surface area is defined as the total area of the surface of any 3D shape. So the surface area of the original cube is defined as:

[tex]S=6a^2 \\ \\ Where: \\ \\ a:side \ of \ the \ cube[/tex]

When one of the corner cubes on the edge of the top layer fell off, we have lost three faces that are part of the surface area for the original cube, but when this happens, then the adjacent cubes replace the three faces we are lost, so this allows us to have the same surface area as the original shape.

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Answer:

it is the same as the surface area of the original cube

Step-by-step explanation:

trust me i answered this and it was correct