Marcus is making a 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 fuse box so that it fits snuggled using 3. 14 as the value of pi what should be the dimensions of the cube box
To determine the dimensions of the cube box, we need to find the side length of the cube.
The surface area of a cube is given by the formula:
Surface area = 6 * (side length)^2
Since we want the soap to fit snugly inside the cube box, the surface area of the cube should be equal to the surface area of the soap.
63.585 in.^2 = 6 * (side length)^2
Dividing both sides by 6:
63.585 in.^2 / 6 = (side length)^2
10.5975 in.^2 = (side length)^2
Taking the square root of both sides:
√(10.5975 in.^2) = side length
3.25 in. (approx.) = side length
Therefore, the dimensions of the cube box should be approximately 3.25 inches on each side.