Marcus is making spherical soaps to sell in his online store. The surface area of a soap is 63.585 in.? and he wants to package them into a cube box so that it fits snugly. Using 3.14 as the value of pi, what should be the dimensions of the cube box? (1 point)
O 1.2 in. x 1.2 in. x 1.2 in.
• 2.25 in. x 2.25 in. x 2.25 in.
• 4.5 in. x 4.5 in. x 4.5 in.
O 4 in. x 4 in. x 4 in.
To find the dimensions of the cube box, we need to divide the surface area of the soap by 6 (the number of faces on a cube).
63.585 in² / 6 = 10.5975 in²
Next, we need to find the length of one side of the cube by taking the square root of the area of one face.
√10.5975 in² ≈ 3.25 in
Therefore, the dimensions of the cube box should be approximately 3.25 in x 3.25 in x 3.25 in. None of the given answer choices match this result, so none are correct.