Question

raj’s company ships t - shirts in boxes shaped like cubes. the picture below shows the cube and its net. raj is designing labels for all of the faces of the boxes. what is the surface area of each box that raj needs to cover with labels? 2 ft

Explanation:

Step1: Recall the formula for the surface area of a cube.

The surface area \( SA \) of a cube is given by the formula \( SA = 6s^2 \), where \( s \) is the length of one side of the cube.

Step2: Identify the side length of the cube.

From the problem, we can see that the side length \( s \) of the cube is \( 2 \) feet.

Step3: Substitute the side length into the formula.

Substitute \( s = 2 \) into the formula \( SA = 6s^2 \). First, calculate \( s^2 \): \( 2^2 = 4 \). Then, multiply by 6: \( SA = 6\times4 = 24 \).

Answer:

The surface area of each box is \( 24 \) square feet.