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A mini game cube is covered in different colors and has a side length of $1.8$ inches. Which of the following would represent the amount of space covered in various colors? $\newline$ A. $116.64\text{in}^{2}$ $\newline$ B. $3.24\text{in}^{2}$ $\newline$ C. $19.44\text{in}^{2}$ $\newline$ D. $10.8\text{in}^{2}$

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Identify equivalent linear expressions: word problems

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Q. A mini game cube is covered in different colors and has a side length of

1.8

inches. Which of the following would represent the amount of space covered in various colors?

\newline

A.

116.64\text{in}^{2}

\newline

B.

3.24\text{in}^{2}

\newline

C.

19.44\text{in}^{2}

\newline

D.

10.8\text{in}^{2}

Understand the problem: Understand the problem. $\newline$ We need to find the total surface area of a cube. The formula for the surface area of a cube is $6 \times (\text{side length})^2$ , since a cube has $6$ faces and each face is a square.
Insert side length: Insert the given side length into the formula. $\newline$ Surface area = $6 \times (1.8 \text{ inches})^2$
Calculate face area: Calculate the area of one face of the cube. $\newline$ $(1.8 \, \text{inches})^2 = 1.8 \times 1.8 = 3.24 \, \text{inches}^2$
Calculate total surface area: Calculate the total surface area of the cube. $\newline$ Surface area = $6 \times 3.24 \, \text{inches}^2 = 19.44 \, \text{inches}^2$

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