A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long, and 1 7/8 feet wide. John has a storage room that is 8 feet wide, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. a. What is the maximum number of boxes that he may stack on top of one another? b. How much room will there be left between the top of the stack of boxes and the ceiling?

Question

Lorelei Rodriguez

Mathematics

15 August, 20:06

A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long, and 1 7/8 feet wide. John has a storage room that is 8 feet wide, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. a. What is the maximum number of boxes that he may stack on top of one another? b. How much room will there be left between the top of the stack of boxes and the ceiling?

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Answers (1)

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Brynn Riddle · Answer 1

A) (12 ft) / (2 3/8 ft) = 5 1/19

The maximum height of a stack of boxes is 5 boxes.

b) (1/19) * (2 3/8 ft) = 1/8 ft is the room left at the top of the stack.