An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). If the volume of the box is represented by V(x) = x(32 - 2x)^2, determine the domain of V(x).

Question

a1234 · Answer

attachment

satellite73 · Answer

you are cutting two squares out of the sides of length 32, what do you think the larges cut you can make is?

a1234 · Answer

Four squares are being cut out

a1234 · Answer

The answer is supposed to be 0 < x < 16, but I'm not sure how to get there

satellite73 · Answer

think about this |dw:1464918664368:dw|

satellite73 · Answer

if x was bigger than 16, you could not make two cuts

a1234 · Answer

One side of the square has to be less than 16 to get two cuts

satellite73 · Answer

right