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

54 in.2
54 in. squared

54 cm2
54 cm squared

18 in.2
18 in. squared

9 in.2
9 in. squared
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1 answer

To find the surface area of the Rubik’s cube, we first need to determine the dimensions of the cube. A standard Rubik's cube is made up of 3x3 smaller squares on each face. Since each smaller square measures 1 inch, the side length of the entire cube is:

\[ \text{Side Length} = 3 \text{ squares} \times 1 \text{ inch/square} = 3 \text{ inches} \]

The surface area \( A \) of a cube is calculated using the formula:

\[ A = 6 \times (\text{side length})^2 \]

Plugging in the side length we found:

\[ A = 6 \times (3 \text{ inches})^2 = 6 \times 9 \text{ in}^2 = 54 \text{ in}^2 \]

Thus, the surface area of the Rubik's cube is:

54 in²

So the correct response from the options provided is:

54 in² or 54 in. squared.