Question 1087412

cookies are packaged in boxes whose width is 2 cm less than the length, and the height is 5 cm more than double the length. determine the dimensions of the box that will give a volume of 33 cm^3
<pre>Let length be L
Then width = L - 2
Height = 2L + 5
We then get: L(L - 2)(2L + 5) = 33
According to the above equation, 3 factors have a PRODUCT of 33, and the only 3 INTEGRAL factors of 33 are: {{{highlight_green(matrix(1,4, "1,", "3,", and, 11))}}}.