Algebra 2

The dimensions in inches of a shipping box can be expressed as width x, length x + 1, and height x - 4. The volume is 84 ft^3. Find the dimensions of the box in feet.

1, 1, 4
2, 2, 21
2, 6, 7
3, 4, 7

Please help? If somebody can help put this into an equation for me, I can do the rest. Thanks

  1. 👍 0
  2. 👎 0
  3. 👁 851
asked by Fading
  1. w = x
    L = (x+1)
    H = (x-4)

    w L H = 84
    so
    x(x+1)(x-4) = 84

    but the easy way is to look at the answers listed
    7 is one bigger than 6
    4 is one bigger than 3
    so it must be one of the last two
    if x = W = 6
    L=7
    H=6-4 = 2
    that works
    if x =W= 4
    L = 5 etc, does not work
    so
    2,6,7 works

    (a cubic has more than one solution)

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. Okay, cool. Thanks a lot, Damon!:)

    1. 👍 0
    2. 👎 0
    posted by Fading
  3. You are welcome.

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by A girl with problems. on March 18, 2016
  2. math

    a shipping box is shaped like a rectangular prism.it has a total volume of 96 cubic inches. the height is two inches less than the width. what are the dimensions of the box?

    asked by briana on April 6, 2011
  3. math

    The polynomial x 3 + 5x 2 -57x -189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions? ( Hint: The height is greater than the

    asked by brittany on June 9, 2014
  4. 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? which box requires more material to

    asked by rebecca on February 20, 2013
  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? which box requires more material to

    asked by cindy on February 20, 2013
  6. 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? which box requires more material to

    asked by cindy on February 20, 2013
  7. math

    You are going to build a glass box. The length of the box is 8 inches more than the width and the height is half the length. The length of the wire to make the frame is 108 inches. 1.What are the dimensions of the box? 2.All six

    asked by maggie on February 4, 2017
  8. 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

    asked by Anonymous on November 17, 2014
  9. 7th grade math ASAP quick please

    1. If a ping pong ball falls from the top of a building that is 168 feet high, how many seconds will it take the ball to hit the ground? Remember, the formula for distance is d = 16t^2. (1 point) 1 3.2 10.5 16 2. The volume of a

    asked by Delilah on October 8, 2012
  10. 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

    asked by April on March 15, 2013

More Similar Questions