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
4.5 in. × 4.5 in. × 4.5 in.
4.5 inches times 4.5 inches times 4.5 inches
2.25 in. × 2.25 in. × 2.25 in.
2.25 inches times 2.25 inches times 2.25 inches
4 in.× 4 in.× 4 in.
4 inches times 4 inches times 4 inches
1.2 in. × 1.2 in. × 1.2 in.
To find the dimensions of the cube box, we need to determine the side length of the cube. The surface area of the soap is given as 63.585 in², which is the same as the surface area of the cube box.
The formula for the surface area of a cube is 6s², where s is the side length of the cube.
Setting up the equation:
6s² = 63.585
Dividing both sides by 6:
s² = 10.5975
Taking the square root of both sides:
s = √10.5975
Using a calculator:
s ≈ 3.2587
Therefore, the side length of the cube box should be approximately 3.2587 inches.
Since none of the given response options match this answer, none of them are correct.