SOLUTION: A square piece of tin is made into an open box by cutting a 9 cm square from each corner. The volume of the box is 3249 cm3. What was the area, in cm^2, of the original piece of ti

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Question 1209056: A square piece of tin is made into an open box by cutting a 9 cm square from each corner. The volume of the box is 3249 cm3. What was the area, in cm^2, of the original piece of tin?
Answer by ikleyn(52908) About Me  (Show Source):
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A square piece of tin is made into an open box by cutting a 9 cm square from each corner.
The volume of the box is 3249 cm3. What was the area, in cm^2, of the original piece of tin?
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The height of the box is  sqrt%289%29 = 3 centimeters.


Therefore, the base area of the box is  the volume divided by the height

    base area = 3249%2F3 = 1083 cm^2.


Hence, the side of the base is  sqrt%281083%29 = 32.909 cm  (approximately).


Then the size of the original square piece of tin is  32.909 + 3 + 3 = 38.909 cm.


ANSWER.  The size of the original square piece of tin is about  38.909 cm.


CHECK.  The volume of the box is  %2838.909-6%29%5E2%2A3 = 3249.007  cm^3,  which is approximately right.

Solved.