SOLUTION: Hi, I am having trouble figuring out this problem. What is the formula for figuring the height of a package when you have the base of the box?
I know there must be some formula to
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I know there must be some formula to
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Question 195544: Hi, I am having trouble figuring out this problem. What is the formula for figuring the height of a package when you have the base of the box?
I know there must be some formula to use to figure it out. Thank you.
Dimensions of a box. Rosita’s Christmas present from
Carlos is in a box that has a width that is 3 inches shorter
than the height. The length of the base is 5 inches longer
than the height. If the area of the base is 84 square
inches, then what is the height of the package? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a box that has a width that is 3 inches shorter than the height.
The length of the base is 5 inches longer than the height.
If the area of the base is 84 square inches,
then what is the height of the package?
:
Let x = the height
then
(x-3) = the width (which is 3" shorter than the ht)
and
(x+5) = the length (which is 5" longer than the ht)
:
The area of the base:
(x-3)*(x+5) = 84
x^2 + 2x - 15 = 84
x^2 + 2x - 15 - 84 = 0
x^2 + 2x - 99 = 0
Factor
(x+11)(x-9) = 0
Positive solution is what we want here
x = 9 inches is the height
:
;
Check solution by finding the area of the base
(9-3) * (9+5) =
6 * 14 = 84
