Mary is packing 108 boxes into a large shipping container. The boxes fill all of the space inside the container. Each box is 3 meters long, 2 meters wide and 1 meter high. The width of the base, and the height of the shipping container are the same. The length of the base is less than 36 meters. All of the dimensions are whole numbers. (No fractions or decimals) What is the dimensions of the shipping container? Explain how you chose this answer.

Question

Mathematics

Tara

28 October, 13:37

Mary is packing 108 boxes into a large shipping container. The boxes fill all of the space inside the container. Each box is 3 meters long, 2 meters wide and 1 meter high. The width of the base, and the height of the shipping container are the same. The length of the base is less than 36 meters. All of the dimensions are whole numbers. (No fractions or decimals) What is the dimensions of the shipping container? Explain how you chose this answer.

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Answers (1)

Know the Answer?

Cameron Kim · Answer 1

Step-by-step explanation:

volume of the container = 3*2*1 * 108 = 648

= width base * length base * height base

= width base ^2 * length base

have length base < 36

-> width base^2 > 648/36 = 18

-> width base^2 = 36 or 324 or 81

-> width base = 6 or 18 or 9

length base = 18 or 2 or 8

dimension = 6 6 18 or 18 18 2 or 9 9 8