Question 807935: First it say to draw a diagram of a rectangular piece of cardboard that has a width 4 inches shorter than it's length. Then it states that squares with 2 inch sides are to be cut off of the corners of the cardboard so that the edges can be folded up to make a box. Draw a diagram of this cardboard and clearly label the length and width of the box after square are removed. Write a formula for the boxs volume.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! draw a diagram of a rectangular piece of cardboard that has a width 4 inches shorter than it's length.
Then it states that squares with 2 inch sides are to be cut off of the corners of the cardboard so that the edges can be folded up to make a box.
Draw a diagram of this cardboard and clearly label the length and width of the box after square are removed.
Write a formula for the boxes volume.
:
Let W = the width of the cardboard
The length is 4" longer, therefore
(W+3) = the length of the cardboard
:
Since 2" squares are being cut out of all 4 corners, dimension for the box
(w-4)by(w+3-4)by 4" high
Vol = (w-4)(w-1)*4
FOIL
Vol = 4(w^2 - w - 4w + 4)
Vol = 4(w^2 - 5w + 16)
Vol = 4w^2 - 20w + 16, the formula for the boxes volume
:
I'll let you draw the diagram,
label the length (w-1), the width (w-4) and the height 4
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