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
2.25 in. × 2.25 in. × 2.25 in.
2.25 inches times 2.25 inches times 2.25 inches
4.5 in. × 4.5 in. × 4.5 in.
4.5 inches times 4.5 inches times 4.5 inches
1.2 in. × 1.2 in. × 1.2 in.
1.2 inches times 1.2 inches times 1.2 inches
4 in.× 4 in.× 4 in.
4 inches times 4 inches times 4 inches
To find the dimensions of the cube box, we need to find the edge length of the cube.
The surface area of a cube is given by the formula: 6s^2, where s is the edge length of the cube.
Since we have the surface area of the soap, which is 63.585 in^2, we can set up the equation:
6s^2 = 63.585
Dividing both sides by 6:
s^2 = 10.5975
Taking the square root of both sides:
s ≈ 3.26
Approximating to the nearest hundredth, the edge length of the cube is 3.26 inches.
Therefore, the correct dimensions of the cube box are:
3.26 in. × 3.26 in. × 3.26 in.