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There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box, how many toothpicks will the jumbo box hold?

Sam23456512  Apr 12, 2018

Best Answer 

 #4
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The volume of the jumbo box will go up by: 2^3 = 8 times. Therefore, it should hold:

8 x 750 =6,000 toothpicks.

Guest Apr 12, 2018
 #1
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I'm not sure if I am right but I think the answer is 1500.

coracatisbest  Apr 12, 2018
 #2
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its right thanks also I am that guest you were helping with the volume questions by the way 

Sam23456512  Apr 12, 2018
 #3
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I know. I saw that your image had changed.

coracatisbest  Apr 12, 2018
 #4
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+2
Best Answer

The volume of the jumbo box will go up by: 2^3 = 8 times. Therefore, it should hold:

8 x 750 =6,000 toothpicks.

Guest Apr 12, 2018
 #5
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How did you get that answer?

coracatisbest  Apr 12, 2018
 #6
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Because when you double the dimensions of the box, the volume goes up as cube or 3rd power of the dimensions. So, assume that the dimensions of the small box were: 1, 2, 3 inches. Then the volume would be: 1 x 2 x 3 = 6 in^3. Now, suppose you double the dimensions of the jumbo box to: 2, 4, 6. Then the new volume of the jumbo box would be: 2 x 4 x 6 = 48 in^3. So now, you divide the volume of the jumbo box by the volume of the regular box and you get: 48 / 6 = 8 times larger than the smaller box. Do you see it now?.

Guest Apr 12, 2018
edited by Guest  Apr 12, 2018
 #7
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Yeah thanks for that.

coracatisbest  Apr 12, 2018

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