SOLUTION: an open box is to be formed out of rectangular piece of cardboard whose length is 8cm longer than its width. To form the box a square of side 4 cm will be removed from each corner

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Question 884410: an open box is to be formed out of rectangular piece of cardboard whose length is 8cm longer than its width. To form the box a square of side 4 cm will be removed from each corner of the cardboard. Then the edges of the remaining cardboard will be turned up.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = width.
Length of cardboard, w+8.

Folding the flaps after removing the square corners forms a box with a volume quantity of space. Squares of side size 4 cm are removed for this.

Base area, %28w-2%2A4%29%28w%2B8-2%2A4%29=%28w-8%29%28w%2B0%29=highlight_green%28%28w-8%29%2Aw%29.
Height being the size of a side of the removed square piece, this is 4 cm.
VOLUME of the box, highlight%284w%28w-8%29%29 square centimeters.