A cube box is 20 cm×20 cm× 20 cm . What is the surface area of the largest size sphere that can fit in this box? Leave your answer in terms of pi.(1 point)

Answer 1

The largest size sphere that can fit in the cube box will have a diameter equal to the length of the box's side, which is 20 cm.

The surface area of a sphere can be calculated using the formula: A = 4πr^2, where r is the radius of the sphere.

The radius of the sphere is half the diameter, so it would be 20 cm / 2 = 10 cm.

Substituting this value into the formula, we get:

A = 4π(10 cm)^2 = 400π cm^2

Therefore, the surface area of the largest size sphere that can fit in the cube box is 400π cm^2.

Answer 2

A rectangular box is 12 in. × 14 in. × 18 in. What is the surface area of the largest size sphere that could fit in this box? Leave your answer in terms of pi.(1 point)