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 $-$ $2$ $\times$ Squares $5$ on a side are cut out of each corner
The new length of the rectangular piece $=$ $50 - 2 \times 5$
The new length of the rectangular piece $=$ $40$ unit
The new width of the rectangular $=$ width of the rectangle piece $-$ $2$ $\times$ Squares $5$ on a side are cut out of each corner
The new width of the rectangular piece $=$ $40 - 2 \times 5$
The new width of the rectangular piece $=$ $30$ unit
Volume $=$ $40 \times 30 \times 5$
Therefore, volume $=$ $6000$ cubic units.

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