Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each corner and the sides of a box will are folded as shown.

V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

x=half

step-by-step explanation: