Question
Marcus is making sporadical soaps to sell at his online store the surface area of the soap is 63.585 in to the power two and he wants to package them in a cube box so that it fits snugly using 3.14 as the value of pi what should the dimensions of the box be
Answers
Answered by
GPT 3.5
To find the dimensions of the cube box, we need to find the length of one side of the cube.
The surface area of the soap is given as 63.585 in², which represents the total surface area of the cube.
The formula to calculate the surface area of a cube is: S = 6s², where S is the surface area and s is the length of one side of the cube.
Let's calculate the length of one side of the cube:
63.585 in² = 6s²
Dividing both sides of the equation by 6:
10.5975 in² = s²
Taking the square root of both sides to solve for s:
s = √10.5975 in²
s ≈ 3.26 in (rounded to 2 decimal places)
So, each side of the cube box should be approximately 3.26 inches.
The surface area of the soap is given as 63.585 in², which represents the total surface area of the cube.
The formula to calculate the surface area of a cube is: S = 6s², where S is the surface area and s is the length of one side of the cube.
Let's calculate the length of one side of the cube:
63.585 in² = 6s²
Dividing both sides of the equation by 6:
10.5975 in² = s²
Taking the square root of both sides to solve for s:
s = √10.5975 in²
s ≈ 3.26 in (rounded to 2 decimal places)
So, each side of the cube box should be approximately 3.26 inches.