A rectangular piece of cardboard is $40$ in. wide and $50$ in. long. Squares $5$ in. 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

1,200

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7,875

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6,000

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8,000

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10,000

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Solution

The correct option is C 6,000
The new length of of rectangular piece is $50 - 5 - 5 = 40$
The new width of rectangular piece is $40 - 5 - 5 = 30$
The height of rectangular piece after bent is $5$
Therefore, the volume is $40 \times 30 \times 5 = 6, 000$ .

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A rectangular piece of cardboard is 40 in. wide and 50 in. long. Squares 5 in. 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

The correct option is C 6,000The new length of of rectangular piece is 50−5−5=40The new width of rectangular piece is 40−5−5=30The height of rectangular piece after bent is 5Therefore, the volume is 40×30×5=6,000.

A rectangular piece of cardboard is $40$ in. wide and $50$ in. long. Squares $5$ in. 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

The correct option is C 6,000
The new length of of rectangular piece is $50 - 5 - 5 = 40$
The new width of rectangular piece is $40 - 5 - 5 = 30$
The height of rectangular piece after bent is $5$
Therefore, the volume is $40 \times 30 \times 5 = 6, 000$ .