The volume of a box is 432 in^3 . if the height is 12 inches and the length is 9 inches, what is the width of the box? (volume of a box = length • width • height) show your work for full credit.

A cube or box is 3 dimensional, which is why we use inches^3 when talking about volume, so we’re trying to find 3 numbers that multiply to be 432. In this case, they want us to make 432 using 9, 12 and some other number. To find this number we first have to multiply 9 and 12.

9 * 12 = 108

Now we need a number that multiplied 108 to be 432, and to find that we’re gonna do inverse operations: Divide 432 by 108

432/108 = 4

4 * 108 = 432

Since 108 is 9 * 12, we can say that

4* 9 * 12 = 432

So the dimensions of the box are 4, 9, and 12.

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