earth
posted by Andrea .
HELP?
Two students are given cubic boxes, measuring 10 cm on a side. Robert puts a single glass marble with a diameter of 10 cm in the box. Susan puts 1,000 1cm glass marbles in her box.
1.Whose box has more empty space? Explain.
2.Whose box will be heavier? Explain.
Can you help me figure this out? thank you!!

earth 
Steve
since v = 4/3 pi r^3, when you replace r with 10r, you get
4/3 pi (10r)^3 = 4/3 pi 1000 r^3 = 1000v
so, one 10cm ball has the same volume as 1000 1cm balls.
both boxes have the same empty space, and will weigh the same (since they have the same amount of glass inside). 
earth 
drwls
Since 1000 1cm diameter marbles have the same volume as one 10 cm marble, the amount of free space would be the same.
If the volumes of glass are the same, and the density of glass stays the same, the masses of both filled boxes would also be the same.
The smaller marbles would try to form a hexagonal close packed array which would allow them to be stacked closer together. There would be open empty space at the top of the box of small marbles, but it would not affect the answer. 
science 
damari
they both have the same weight

SCIENCE 
NONOFURBISSNISSE
ABCDEFGHIJKLMNOPQRSTUVWXYZ
NOW I KNOW MY ABC'S NEXT TIME WON' YOU SING WITH ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Respond to this Question
Similar Questions

mathprobability
Mary has 3 boxes with Marbles. Eavh box is labeled so that she knows what is in each box. She has 1 box with 2 blue marbles, another box with 2 red marbles and a 3rd box with 1 red and 1 blue marble. Mary's little sister removed all … 
mathprobability
Mary has 3 boxes with Marbles. Eavh box is labeled so that she knows what is in each box. She has 1 box with 2 blue marbles, another box with 2 red marbles and a 3rd box with 1 red and 1 blue marble. Mary's little sister removed all … 
Ratio
I had a total of 129 marbles in 3 boxes at first. Then I threw away 2/3 of the marbles from Box 1, added 15 marbles to Box 2, and added marbles to Box 3 until the numbers in box 3 tripled. As a result the number of marbles in box 1 … 
math
there were 7 times as many marbles in box a as in box b. after joyce transferred 294 marbles from box a to box b, both boxes had the same number of marbles. how many marbles were there in box a at first? 
Math
There were 7 times as many marbles in Box A as in Box B. After Joyce transferred 294 marbles from Box A to Box B, both boxes had the same number of marbles. How man marbles were there in Box A at first. 
math
A box contains 2 white marbles, 3 blue marbles, 7 black marbles and 9 green marbles. Juan takes one marble at time out of the box and without looking at its color puts it in another box. What is the least number of marbles Juan must … 
HELPPPP
A box contains 2 white marbles, 3 blue marbles, 7 black marbles and 9 green marbles. Juan takes one marble at time out of the box and without looking at its color puts it in another box. What is the least number of marbles Juan must … 
Math 141
Box A contains 3 white marbles and 4 black marbles. Box B contains 6 white marbles and 5 black marbles. An experiment consists of first selecting a marble at random from Box A. The marble is transferred to Box B and then a second marble … 
math
Mrs. Dwayne has three boxes. The first box contains three red marbles and five blue marbles. The second box has four red marbles and six blue marbles. The third box has five red marbles and seven blue marbles. Mrs Dwayne pulls a marble … 
Math
Box A contains six white marbles and five black marbles. Box B contains three white marbles and four black marbles. An experiment consists of first selecting a marble at random from Box A. The marble is transferred to Box B and then …