The diameter of a ball is 20 inches. If the surface area of the diameter is the same as the surface area of a cube, what does 1 side of the cube measure? Round to the nearest whole number.  Select the correct option.
A) 10
B) 5
C) 8
D) 4
E) 3
The surface area of a sphere is determined by squaring the radius, multiply by Pi and multiply by 4. The radius is half of the diameter of a circle. So the radius of the ball is 10 inches. Multiply 10 by Pi, then multiply the answer by 4 will calculate to 125.663 inches as the surface area of the ball. Since a cube has 6 evenly measured sides we can divide the surface are by 6. This comes to 20.943 inches as the surface area for each square side of the cube. To find out the measurement for each side of the cube you will need to find out the square root of 20.943 inches. This comes to 4.576 inches. Rounding to the nearest whole number, each side of the cube measures 5 inches. The correct answer is (5).
<result>B</result>
The diameter of a ball is 20 inches. If the surface area of the diameter is the same as the surface area of a cube, what does 1 side of the cube measure? Round to the nearest whole number.