Question

# A rectangular piece of cardboard is $40$ in width and $50$ in length. Squares $5$ on a side are cut out of each corner, and the remaining flaps are bent up to form an open box. The number of cubic inches in the box is

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Solution

## The height of the rectangular piece after being bent is $5$ in.The new length of the rectangular piece $=$length of the rectangle piece$-$$2$$×$Squares $5$ on a side are cut out of each cornerThe new length of the rectangular piece $=$$50-2×5$The new length of the rectangular piece $=$$40$ unitThe new width of the rectangular $=$width of the rectangle piece$-$$2$$×$Squares $5$ on a side are cut out of each cornerThe new width of the rectangular piece $=$ $40-2×5$The new width of the rectangular piece $=$$30$ unit Volume $=$ $40×30×5$Therefore, volume$=$$6000$ cubic units.

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