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?(1 point)
Responses
To find the dimensions of the cube box that will snugly fit the spherical soap with a surface area of 63.585 in.2, we first need to calculate the side length of the cube.
Surface area of a cube = 6s^2, where s is the side length of the cube.
Given surface area = 63.585 in.2
63.585 = 6s^2
s^2 = 63.585 / 6
s^2 = 10.5975
s = √10.5975
s ≈ 3.25
Therefore, the side length of the cube box should be approximately 3.25 inches to snugly fit the spherical soap.