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? (1 point)

O 4.5in .*4.5 in.*4.5 in.

O 1.2 ln.*1.2 ln.*1.2 ln.

O 4in .*4 in.*4 in.

O 2.25in * 2.25in .*2.25 in.

2 answers

To determine the dimensions of the cube box, we need to find the edge length of the cube.

The surface area of a sphere is given by the formula: A = 4πr^2.

We can rearrange the formula to solve for the radius, r: r = √(A / (4π)).

Substituting the given surface area, we have: r = √(63.585 / (4 * 3.14)) ≈ √5.067 ≈ 2.25 in.

The edge length of a cube is equal to twice the radius of the sphere. Therefore, the dimensions of the cube box should be: 2.25 in * 2.25 in * 2.25 in.

So the correct answer is: O 2.25in * 2.25in * 2.25in.
Why is it not 4.5 x 4.5 x 4.5?