SOLUTION: A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown! The function f determines the vo

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Question 1126650: A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown!
The function f determines the volume of the box (in cubic inches) given a cutout length (in inches).
A)Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.5 inches.
B)Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 1.4 inches.
C)Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 0.5 inches to 1.4 inches.
D)Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 5.4 inches to 5.5 inches.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown!
The function f determines the volume of the box (in cubic inches) given a cutout length (in inches).
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Dimensions for the sheet of paper: L and w
Side length of square corner to remove: x, which is also the box height.

Box base area: %28L-2x%29%28w-2x%29

Volume for the box: highlight%28x%28L-2x%29%28w-2x%29%29


The listed questions are just arithmetic and algebra based on the volume formula.