SOLUTION: A square box can store 2940 cylindrical cans. Each can occupies 15 square centimeters. What is the length of the box?

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Question 1096454: A square box can store 2940 cylindrical cans. Each can occupies 15 square centimeters. What is the length of the box?


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If each can uses up 15cm%5E2 of the surface of the bottom of the box,
the surface area of the bottom of the box is
2940%2A15cm%5E2
The surface area of a square (like the bottom of the box)
is the square of the length of a side,
so the length of a side of that square-bottom box is
sqrt%282940%2A15cm%5E2%29 .

Without using a calculator, I can tell that it is highlight%28210cm%29 , because
2940%2A15=1470%2A2%2A15=1470%2A30=7%2A21%2A10%2A3%2A10=21%2A21%2A10%2A10=210%2A210=210%5E2 .