SOLUTION: Hello! so I have 3 parts answered out of 4 of this 4 part question on my homework, any explanation would be greatly appreciated! bit confused... A piece of sheet metal is 2.7 time

Click here to see ALL problems on Equations

Question 1192008: Hello! so I have 3 parts answered out of 4 of this 4 part question on my homework, any explanation would be greatly appreciated! bit confused...
A piece of sheet metal is 2.7 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inch squares from each corner and folding up the sides. Answer the following questions.
1)Represent the length of the original piece of sheet metal in terms of x.
The length is 2.7x
2)x has restrictions. Which of the following are the restrictions for x?
x>6

3)Which function V represents the volume of the box in terms of x?
V=3(x-6)(2.7x-6)
4)The volume of the box must be between 600 and 800 cubic inches. Between which two values must x be in order to produce this range of volumes?
?
(Use a comma to separate answers as needed. Round to the nearest tenth as needed.)
Thank you!

Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
Try drawing the description and label as many parts as you can.

length of sheet, 2.7x
width of sheet, x
cutting out 3 inch square at each corner and fold up to make box; the height of the box is 3 inches.

v for volum of the box

or

One obvious restriction is that x must be LARGER than 6.

The values for v according to question #4 are 600 and 800. So you x boundaries may be as
, which is two combined inequalities. You can find the x values. A graphing tool might help, or,...