A packaging company wants to fit 6 energy drink cans in a cardboard box, as shown below. The
bottom of each can is a circle with a radius of 4 cm. What is the area of the bottom of the box not
taken up (left over) by the cans?

Step-by-step explanation:

-Assume the cans are arranged in a two by three dimensions.

-Therefore the length of the box is equivalent to 3 diameters and the width is equivalent to two diameters:

#The area of the cardboard box is calculated as:

#The total bottom areas of the 6 cans is:

#The area not covered is the difference between the area of the box and the total bottom areas of the 6 cans:

Hence, the area not covered is approximately

*Note that whichever order of arrangement the cans assume, the areas of the boxes will be the same.

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step-by-step explanation:

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step-by-step explanation: