Question

A toolbox has the dimensions of 8 in by 6 in by 7 in. If Jenny plans to double all three dimensions to build a larger toolbox, she believes she would double the volume of the toolbox. Is she correct

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Answer 1

No

Step-by-step explanation:

For this question, all we need to do is double the dimension of each measurement and see if the volume does indeed double, although I will go through the maths after.

Firstly, the initial volume = 6*7*8 = 336 in

Now double the dimensions:

6*2 = 12

7*2 = 14

8*2 = 16

12*14*16 = 2688 in

And the difference between these two volumes is:

2688/336 = 8

Therefore the answer is no.

Alternatively, we could say that the the scale factor for volume is the scale factor for length cubed, as length is 1D and volume is 3D.

In this case, the scale factor for volume would be 2^3, which is 8 and what the answer we found to be was.