00:01
If you had a box with dimensions of 3 centimeters by 5 centimeters by 11 centimeters, increase all of those values by a certain value we'll call x, such that the volume of a new box or a larger box is between 300 and 900 cubic centimeters.
00:20
So given the vast difference between 300 and 900 centimeters, i'm guessing we're going to be able to do more than one increase in value.
00:31
But first, let's figure out what 3 by 5 by 11 actually is.
00:37
So if we multiply 3 times 5 times 11, we're going to end up with 165 cubic centimeters.
00:48
So if we doubled this, this would be 320.
00:52
And this would certainly increase our volume of our box, and it would put us between 300.
01:01
And 900.
01:03
But i'm going to assume that x is a whole number.
01:08
Because if we don't assume that it's a whole number, there can be infinite number of values for x that you can add.
01:18
So let's assume that it's a whole number.
01:20
So let's first write down our initial dimensions of the box.
01:26
We have 3, 5, and 11, and this is equal to 165 cubic centimeters.
01:33
If we were to add one centimeter to each one of these, it would become four, six, and twelve...