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Sixteen cylindrical cans, each with a radius of 1 unit, are placed inside a cardboard box four in a row. If the cans touch the adjacent cans and or the walls of the box, then which of the following could be the interior area of the bottom of the box in square units?

Sixteen cylindrical cans, each with a radius of 1 unit, are placed inside a cardboard box four in a row. If the cans touch the adjacent cans and or the walls of the box, then which of the following could be the interior area of the bottom of the box in square units? Correct Answer 64

16 cylindrical can of each radius 1 unit

Formula used:

Area of square = side2

Calculation:

16 cans are arranged in such order that it touches each other or side of the box

Each row contains 4 can and has total 4 rows

The diameter of each can is 1 unit

So, the side of the box is 8 unit

In the question asked area of the bottom of the box

Area of square = 82 = 64 unit2

∴ The area of the bottom of the box is 64 unit2.

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