Algebra 2

A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. the box is formed by cutting squares that measures 4 inches on each sides from 4 corners and then folding up the sides. If the volume of the box will be 340 inches to the third, what are the dimensions of the piece of cardboard? Width? Length?

asked by April
  1. inches to the third are called cubic inches!

    the original dimensions of the cardboard are w and w+12

    The base of the box is thus
    w-8 by w+4

    Since the height of the box is now 4, the volume is

    (w-8)(w+4)(4) = 340

    solve that to get w=13 and the rest is downhill

    posted by Steve
  2. (29-2x)(15-2x)

    posted by Anonymous

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    A box with no top is to be constructed from a piece of cardboard whose length measures 6 inch more than its width. The box is to be formed by cutting squares that measure 2 inches on each side from the four corners an then folding
  2. math

    A box with no top is to be constructed from a piece of cardboard whose width measures x cm and whose length measures 6 cm more than its width. The box is to be formed by cutting squares that measure 2 cm on each side from the four
  3. Math

    An open-topped box is constructed from a piece of cardboard with a length 2 cm longer than its width. A 6 cm square is cut from each corner and the flaps turned up from the sides of the box. If the volume of the box is 4050 cm3 ,
  4. math

    a piece of cardboard is twice as it is wide. It is to be made into a box with an open top by cutting 2-in squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece of cardboard.
  5. Math

    A piece of cardboard has a length of 60cm and a width of 40cm. In order to make the cardboard into an open box, a box with no lid), a piece of length x must be cut out of each corner. Write an equation to represent each dimension
  6. Math

    A box with an open top is to be made by cutting 5-inch squares from the corners of a rectangular piece of cardboard whose length is twice its width and then folding up the remaining flaps. Let x represent the width of the original
  7. 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
  8. math

    A square piece of cardboard is to be used to form a box without a top by cutting off squares, 5cm on a side, from each corner and then folding up the sides. if the volume of the box must be 320 sq. sm, what must be the length of a
  9. Calculus 1

    A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the
  10. Math

    A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in by 12 in by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the

More Similar Questions