A ball will fit inside a cubed box and will touch all 6 sides. The surface area of the ball is 1017.36 square inches. What is the length of each Sid wig the box. Use 3.14 for pi.
The side length of the box is ? Inches.
To find the side length of the box, we first need to find the radius of the ball.
Surface area of a sphere = 4πr^2
1017.36 = 4 * 3.14 * r^2
r^2 = 1017.36 / 12.56
r^2 = 81
r = √81
r = 9 inches
Since the ball touches all 6 sides of the box, the diameter of the ball is equal to the side length of the box.
Therefore, the side length of the box is 9 inches.
The radius is 9 so
the diameter is 18