Related questions with answers
Solve the given problem.
A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting two-inch squares from each corner and folding up the sides. Let represent the width of the original piece of cardboard.
(a) Represent the length of the original piece of cardboard in terms of .
(b) What will be the dimensions of the bottom rectangular base of the box? Give the restrictions on .
(c) Determine a function that represents the volume of the box in terms of .
(d) For what dimensions of the bottom of the box will the volume be cubic inches? Determine analytically and support graphically.
(e) Determine graphically (to the nearest tenth of an inch) the values of if the box is to have a volume between and cubic inches.
a) Let's note:
=the width of the rectangle
=the length of the rectangle.
We determine in terms of using the perimeter:
Recommended textbook solutions
More related questions