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2 answers:
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Answer:
Both boxes have the same amount of empty space
Explanation:
Given
Cube Box
Robert:
1 glass marble
Susan:
1000 glass marble
Required
Whose box has more empty space?
First, we need to calculate the volume of the cubic box.
Substitute 10cm for Length
Next, calculate the volume of Robert's glass
Volume is calculated as:
---- Volume of a sphere
Where
r = radius
--- Given
Substitute 10 for diameter
So:
Next, we determine the volume of Susan's 1000 glasses
Volume is calculated as:
---- Volume of a sphere
Where
r = radius
--- Given
Substitute 1cm for diameter
Substitute 0.5cm for radius in
But there are 1000 glasses.
So, the volume of 1000 glasses is:
--------------------------------------------------------------------------------------------------------------
For Robert:
For Susan:
Since, they have the same volume.
Both boxes have the same amount of empty space