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)

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1 answer

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.