a cube box is 12 x 14 x 18 cm. what's the surface area of the largest sphere in terms of pi
A cube box has all sides of equal length. Therefore, the length of each side is given as 12 cm (since all sides are also equal to each other).
The diameter of the largest sphere that can fit inside the cube box will be equal to the length of one of the sides.
Hence, the diameter of the sphere = 12 cm.
The radius of the sphere is half the diameter, so the radius is 12/2 = 6 cm.
The surface area of a sphere is given by the formula: A = 4πr².
Plugging in the value of the radius, we get:
A = 4π(6 cm)²
= 4π(36 cm²)
= 144π cm²
Therefore, the surface area of the largest sphere (in terms of π) that can fit inside the cube box is 144π cm².