Posted by Cadmus on Friday, January 11, 2013 at 2:29pm.
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.

Math  Steve, Friday, January 11, 2013 at 2:42pm
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

Math  sulaimon, Tuesday, March 12, 2013 at 3:10pm
Actual length = 23•8m 1cm to 2m
Answer This Question
Related Questions
 math  An open topped box can be created by cutting congruent squares from each ...
 math grade 12  A opentopped box can be created by cutting congruent squares ...
 math  An opentopped box is made from a rectangular piece of cardboard, with ...
 math  An open box is made from a rectangular piece of cardboard, with ...
 math  you want to make an opentopped box from a 20 cm by 20 cm piece of ...
 calculus  You are planning to make an opentop box from an 12 in by 12 in piece...
 optimal dimensions  Applications of derivatives You are planning to make an ...
 algebra 2  you can make an open box from a piece of flat cardboard. First cut ...
 Calculus  An open top box is made by cutting congruent squares from the corners...
 Algebra  A box with no top is to be constructed from a piece of cardboard whose...
More Related Questions