Marcus is making spherical soaps to sell in his online store. The surface area of a soap is 63.585 in.^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?
To find the dimensions of the cube box, we first need to find the side length of the cube.
The surface area of a cube is given by the formula: 6s^2, where s is the side length of the cube.
Given that the surface area of the soap is 63.585 in.^2, we have:
6s^2 = 63.585
s^2 = 63.585 / 6
s^2 = 10.5975
s = √10.5975
s ≈ 3.26
Therefore, the side length of the cube should be approximately 3.26 inches.