# 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
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
3. You are welcome.

1. 👍 0
2. 👎 0
posted by Damon

## 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