Expert: Richard J. Raridon - 12/15/2005

Question
can you show me how you got these answers...oh and by the way, you're quick! Jeannine-------------------------
Followup To
Question -
An open box with locking tabs is to be made from a square metallic sheet 24 inches on a side. This is to be done by cutting equal squares from the corners and folding along the dashed lines
A. Verify that the volume of the box is given by the function... V(x)=8(6-x)(12-X)
B. Determine the domain of the function V.
C. Sketch the graph of the function and estimate the value of x for which V(x) is maximum.
Answer -
A. I don't believe that's the right expression for the function.  If the side of each square cut out is x, then the depth of the box is x and you have
V(x) = x(24-2x)^2 or 4x(12-x)^2
V(x) is a maximum for x=4 so the domain of V is 0 to 1024

Answer
I'm not always that prompt but I was logged on to check my mail.  I've worked problems like that before.  Since you're starting with a square piece, the sides of the box have to be the same.  I cheated to get the value for x when V(x) is a maximum by taking the derivative, which involves calculus.  You can do the sketch and simply put in values for x = 2,3,4,5,6 and calculate V(x).  
I have a sister named Jeanene.