Math

posted by .

The length of a piece of cardboard is two inches more than its width. an open box is formed by cutting out 4 inch squares from each corner and folding the sides. If the volume of the box is 672 cubic inches, find the dimensions.

  • Math -

    Volume of rectangular prism
    672 = 4*w*(w+2)

    Thus:
    w^2 + 2w - 168 = 0

    Solve for w, using quadratic formula
    w = (-b ± √(b^2-4ac))/(2a),
    where
    a = 1, b = 2, c = -168

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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. …
  2. Math

    A box with no top is to be constructed from a piece of cardboard whose Width measures x inch and whose length measures 3 inch more than the width the box is to be formed by cutting squares that measure 1 inch on each side of the 4 …
  3. MATH help

    A box with no top is to be constructed from a piece of cardboard whose Width measures x inch and whose length measures 3 inch more than the width the box is to be formed by cutting squares that measure 1 inch on each side of the 4 …
  4. 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 …
  5. 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 …
  6. 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 …
  7. pre-calc

    A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares. Determine …
  8. math

    a tray with a square base is to be made from a square piece of cardboard by cutting 5 inch squares from each corner and folding up the sides. If the box is to hold a volume 520 cubic inches, find the length of the piece of cardboard …
  9. Pre Calculus

    A piece of cardboard measuring 13 inches by 11 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. a. Find a formula for the volume of the box in terms of x b. Find …
  10. Math

    a tray with a square base is to be made from a square piece of cardboard by cutting 5 inch squares from each corner and folding up the sides. If the box is to hold a volume 520 cubic inches, find the length of the piece of cardboard …

More Similar Questions