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Mr. Reid​'s storage bin is 4 feet​ long, 3 feet​ wide, and 7 feet tall. Can he fit 81 boxes that each has a volume of 1 cubic foot in his bin​? Explain your answer

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Answer:

Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

Explanation:

Given that Mr. Reid's storage bin is 4 feet long, 3 feet wide, and 7 feet tall, to determine if he can fit 81 boxes that each has a volume of 1 cubic foot in his bin, the following calculation, knowing that the volume of a rectangular prism arises from multiplying its height by its width and its length:

4 x 3 x 7 = X

12 x 7 = X

84 = X

84 - (81 x 1) = X

84 - 81 = X

3 = X

Therefore, Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

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