SOLUTION: spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if as many balls as possible are packed in the box, how much free space remains in the box?

Question 1178387: spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if as many balls as possible are packed in the box, how much free space remains in the box?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Imagine each ball packed in its own cube 1.5 cm on a side. Then the array of those cubes in the box that is 6 cm by 3 cm by 3 cm is 4 by 2 by 2. So there are 16 balls in the box.

You can picture solving the problem by finding the free space in each of those cubes containing a sphere and multiplying that by 16.

ANSWER: 16 times the difference between the volume of a cube with edge 1.5 cm and the volume of a sphere with diameter 1.5 cm.

You can do the calculations....

RELATED QUESTIONS
spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if (answered by MathLover1,greenestamps)

After a maximum number of 5-cm plastic cubs are packed into a rectangular box measuring... (answered by stanbon)

What if a rectangular block of lead is going to be melted to mould spherical balls with a (answered by josgarithmetic)

https://imgur.com/NaFETdb Three curtain rods, each with diameter 3 cm, are bound together (answered by ikleyn)

There are 600 balls in a box, and 1/3 of the balls are red. How many red balls are in the (answered by neatmath,Fombitz)

In a box their are n red balls alone and 3 times as many black balls . (answered by ikleyn)

How many cubes of side 6 cm can be fitted in a box measuring 40 cm by 28 b 18... (answered by MathLover1,greenestamps,ikleyn)

small containers which fit 3 balls must be packed in a bigger box with dimensions 70cm (answered by chen.aavaz)

Two metal balls are placed in a cylinder containing water. The Lower ball has a radius of (answered by ikleyn)