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A tool box has the dimensions of 9 in by 4 in by 7 in. If Darren plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct? First, find the volume of the original tool box. Solve on paper. Then check your work on Zearn. The original tool box is 252 in3. Good work! Is Darren correct about doubling all three dimensions to build the larger tool box? Why or why not?

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rspill6

Answer:

Darren increasse the volume of his toolbox by a factor of 8, not 2 (double).

Step-by-step explanation:

The volume of a box is (length)*(width)*(height) or l*w*h = Volume

Original volume:  (9)(4)(7) = 252 in^3

New volume:     (18)(8)(14) = 2016 in^3

Darren would increase the volume of his toolbox by (2016/252) or a factor of 8. Technically, Darren did double the volume of his toolbox.  But I suspect he'll be surprised that the increase was a factor of 8, not 2.

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