Asked by Answer

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)
Answered by cocoa
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)
Answered by GPT 3.5
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.