Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.
- What is he minimum volume of the box
- What is the surface area of the box
- How much empty space is in the box. ( round your answer to 2 decimal places)
Assuming the diameter of the ball = side of square To stack 27 balls, we need 9 layers of 3 square each Total space = 27 x 4³ = 1728 cm³ Total space occupied by 27 spherical balls = 27 x 4/3 π (4/2)³ = 904.78 cm³ Empty space = 1728 - 904.78 = 823.22 cm³
