Math
posted by Cadmus on .
An opentopped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008cm^3.
length=302x
width=202x
h=x
I don't get this because x and cm aren't interchangeable digits.

no idea what your complaint is about. x is a variable, and its units are cm. Multiply the three expressions and you get cm^3.
x(202x)(302x) = 1008
4x^3  100x^2 + 600x  1008 = 0
scale down by 4:
x^3  25x^2 + 150x  252 = 0
252 = 2*2*3*3*7
The only integer root is x=3, so the required box is
3×14×24 = 1008 
Actual length = 23•8m 1cm to 2m