Marcus is making spherical soaps to sell in his online store. The surface area of a soap is 63.585in .^ 2 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?
A. 4.5in .*4.5 in.*4.5 in.
B. 1.2 ln.*1.2 ln.*1.2 ln.
C. 4in .*4 in.*4 in.
D. 2.25in * 2.25in .*2.25 in.
To find the dimensions of the cube box, we need to calculate the side length (s) of the cube.
The total surface area of a cube is given by 6s^2, where s is the side length.
In this case, the surface area of the spherical soaps is given as 63.585 square inches.
Therefore, 6s^2 = 63.585
Simplifying the equation, we get s^2 = 10.5975
Taking the square root of both sides, we get s = √10.5975
Using a calculator, we find that s ≈ 3.26
Since the side length of the cube is approximately 3.26 inches, the answer is not listed among the given options.