Question

Which could be the surface area of a cubic box that contains a baseball that has a diameter of 3 inches: 9 square inches, 18 square inches, 27 square inches, or 54 square inches?

Answer 1

54 in²

Explanation:

Look at the picture.

The edge of the cube is equal to the diagonal of the sphere.

Therefore, the length of the cube's edge is 3 inches.

The formula of a surface area of a cube:

`S.A.=6a^2`

Substitute a = 3 in:

`S.A.=6(3^2)=6(9)=54\ in^2`