geometry

posted by .

The length of a box is 4 inches longer than its width, and the height is 2 inches shorter than the width. Which equation can you use to solve for the length of the box if the volume is 240 cubic inches? (Assume that the width of the box is x.)

  • geometry -

    width ---- x
    length --- x+4
    height ---x-2

    x(x+4)(x-2) = 240
    x(x^2 + 2x -8) = 240
    x^3 + 2x^2 - 8x - 240 = 0

    after a few trials, I found x = 6 to work.

    ( tried x=3,4,5,6 , no need to try any negatives or x<2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 5th grade math

    Im confused please help thank you To find the volume of a box, you multiply the length times the width time the height. The colume of a box is 36,000 cubic inches. Its width is 40 in and its height is 15 in. Eatimate the length of …
  2. college algebra

    a rectangular box has a volume of V(x)=x^3+13x^2+50x+56 cubic inches. The height of the box is x+7 inches. The width of the box is x+4 inches. Find the length of the box in terms of x.
  3. math

    carl has a box with a length width and height of 12 inches. she needs a box that is 4 inches longer, not as high, yet still has exactly the same width and volume. what are the new dimensions?
  4. algebra

    carl has a box with a length width and height of 12 inches. she needs a box that is 4 inches longer, not as high, yet still has exactly the same width and volume. what are the new dimensions?
  5. MATH!!

    carl has a box with a length width and height of 12 inches. she needs a box that is 4 inches longer, not as high, yet still has exactly the same width and volume. what are the new dimensions?
  6. Math

    Walter is making an open-top box. The length is 6 inches greater than the width, and the height is 2 inches. The area of the rectangular sheet of material that will be folded to make the box is 280 square inches. What is the length …
  7. Math

    A jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width. The volume of the box is 64 cubic inches. Use synthetic division to find the roots of the polynomial equation. Are the …
  8. Math

    2.)The volume of a box can be found by multiplying the length times width times height of a box(V=lwh).If the volume of a box is 1,300 cubic inches, & all its its dimensions are equal, what is the side length of the box in inches?
  9. Algebra

    Walter is making an open-top box. The length is 6 inches greater than the width, and the height is 2 inches. The area of the rectangular sheet of material that will be folded to make the box is 320 square inches. What is the width …
  10. Math

    A glass box shaped like a rectangular prism has width of 7 in., length 9 in., and height 12 in. . It is being shipped in a bigger box with width 10 inches, length 10 inches, and height 15 inches. The space between the box and the shipping …

More Similar Questions