Constructing a box From a rectangular piece of cardboard having dimensions 20 inches ×30 inches, an open box is to be made by removing squares of area x2 from each corner and turning up the sides. (See Exercise.)
Constructing a box From a rectangular piece of cardboard having dimensions 20 inches ×30 inches, an open box is to be made by cutting out identical squares of area x2 from each corner and turning up the sides.
(a) Show that the volume of the box is given by the function V(x)=x(20 −2x)(30 − 2x).
(b) Find all positive values of x such that V(x)> 0, and sketch the graph of V for x > 0.
(a) Show that there are two boxes that have a volume of 1000 in3.
(b) Which box has the smaller surface area?
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.