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.
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
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