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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)

Sagot :

lisa1260
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
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