algebra

posted by .

Volume of a Box (Refer to the preceding exercise.)
A box is constructed from a square piece of metal that
is 20 inches on a side.
(a) If the square corners of length x are cut out, write
a polynomial that gives the volume of the box.
(b) Evaluate the polynomial when inches.
(c) Factor out the greatest common factor for this
polynomial expression.

  • algebra -

    what shape is the box? Is it a square box, of height x? Or is it a cube? Does it have a lid, or is it open?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares from the corners and turning up the sides to make the box. (a) Express the volume V of the box as a function …
  2. algebra

    Volume of a Box A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial …
  3. calculus

    A 33 by 33 square piece of cardboard is to be made into a box by cutting out equal square corners from each side of the square. What size corners should be cut out so that the volume of the box is maximized?
  4. college algebra

    An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the square …
  5. Math/209

    Dimensions of a Box A box is made from a rectangular piece of metal with length 50 inches and width 40 inches by cutting out square corners of length x and folding up the sides. (a) Write an expression that gives the surface area of …
  6. Algebra

    Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each …
  7. functions

    Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each …
  8. math

    a box is to be made by cutting out the corners of a square piece of cardboard and folding the edges up. if 3-inch squares are to be cut out of the corners and the box contains 243 cubic inches, what is the length of a side of the original …
  9. Mathematics

    An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square …
  10. College Algebra

    A rectanguler piece of metal is 5 inches longer than it is wide. Square with sides 1 inches longer are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 644 inches, what are …

More Similar Questions