Question

Question

Use the image to answer the question.

An illustration shows a Rubik’s cube made up of three by three smaller cubes on each side.

Given that each square is 1 inch, find the surface area of this puzzle game.

(1 point)
Responses

18 in.2
18 in. squared

54 cm2
54 cm squared

54 in.2
54 in. squared

9 in.2
9 in. squared
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Answer 1

To calculate the surface area of a Rubik's cube that is made up of 3x3 smaller cubes, we first note that the cube has 6 faces.

Each face of the cube is composed of 3x3 = 9 smaller squares. Since each square is 1 inch by 1 inch, the area of one face is:

\[ 9 \text{ in}^2 \]

Now, since the cube has 6 faces, the total surface area of the Rubik's cube is:

\[ 6 \times 9 \text{ in}^2 = 54 \text{ in}^2 \]

Thus, the surface area of the Rubik’s cube is 54 in² or 54 in squared.

So the correct response is:

54 in.² or 54 in squared.