Question

determine the surface area of the sudoku cube. round to the nearest tenth of a unit. the surface area of the sudoku cube is approximately

Explanation:

Step1: Recall the surface area formula for a cube

The surface area formula for a cube is \(SA = 6s^{2}\), where \(s\) is the side - length of the cube.

Step2: Substitute the given side - length into the formula

Given \(s = 3.4\) in. Then \(SA=6\times(3.4)^{2}\). First, calculate \((3.4)^{2}=3.4\times3.4 = 11.56\).

Step3: Calculate the surface area

Then \(SA = 6\times11.56=69.36\) in².

Step4: Round to the nearest tenth

Rounding \(69.36\) to the nearest tenth. Since the digit in the hundredth place is \(6\gt5\), we round up the digit in the tenth place. So \(69.36\approx69.4\) in².

Answer:

\(69.4\) in²