To find the Area of the Cylinder or the coke can you would use the formula A=2πrh+2πr2. R being the radius and H being the height If you plug in the variables 3 for the radius and 8 for the height. You will get 207.35 and you will divide that by your total area. You can make 12(12.90089) cans with the allotted amounted of sheet metal.
The theorem being used to show congruence is ASA. In one of the triangles, the angles are 1 and R, and the side between them is AR. The triangle containing those angles and that side is ΔARS.
In the other triangle, the angles are 3 and Q, and the side between them is AQ. The triangles containing those angles and that side is ΔAQT.