Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Quadratic Formula?
A rectangular piece of sheet metal is 6 inches shorter than it is wide. From each corner, a 0.5 x 0.5 inch square is cut out and the flaps are then folded up to form an open box. You are given that volume of the open box is 1736 in3.
What is the length?
What is the width?
2 Answers
- Wayne DeguManLv 71 month agoFavorite Answer
Length => w - 6
Width => w
With 0.5 cut off both ends we have:
Length => w - 6 - 2(0.5)
Width => w - 2(0.5)
Hence, Length = w - 7 and width w - 1
As the height is 0.5 and volume is l x w x h we have:
Volume = 0.5(w - 7)(w - 1) = 1736
i.e. (w - 7)(w - 1) = 3472
or, w² - 8w - 3465 = 0
so, (w - 63)(w + 55) = 0
Hence, w = 63 or -55...not possible
With w = 63, l = 57....rectangular sheet
If 0.5 is cut from both ends we have a tray that is 62 wide by 56 in length and 0.5 high
so, 0.5 x 62 x 56 => 1736...correct
:)>
- BryceLv 71 month ago
V= L*W*H
W= L - 61736= 0.5(L - 1)(L - 7)
3472= L² - 8L + 7
L² - 8L - 3465= 0
L= 63 in, W= 57 in
