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Mathematics 24 Online
AFRA:

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1649 mailboxes this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes?

jhonyy9:

please post the figure

Extrinix:

This can't be solved without the image like jhonyy said, but I can get the equations for it, Surface Area of a prism: \(SA=2B+Ph\) Surface Area of a cylinder: \(SA=2\pi r^2+2\pi rh\) Converted cylinder equation: \(SA=\dfrac{2\pi r^2 + 2\pi r h}{2}\) or \(SA=\dfrac{1}{2}(2\pi r^2 + 2\pi rh)\)

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