How to make a cylinder model with two pieces of square iron sheet with side length of 3 decimeters and a rectangular iron sheet with length of 9.42 decimeters and width of 6.28 decimeters What is the maximum volume?

How to make a cylinder model with two pieces of square iron sheet with side length of 3 decimeters and a rectangular iron sheet with length of 9.42 decimeters and width of 6.28 decimeters What is the maximum volume?


1. If two pieces of square iron sheet with side length of 3 decimeters are used as the bottom of the cylinder, then r = 1.5 decimeters and the circumference of the bottom is 3.14 × 3 = 9.42 decimeters
2. A 9.42 decimeter long, 6.28 decimeter wide rectangular sheet iron to do the side of the column, the height is 6.28 decimeters
3. The volume is: 3.14 × 1.5 & # 178; × 6.28 = 44.3682 cubic decimeter
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A rectangular iron sheet (thickness is not included), four corners are cut off, and the square with side length of 2.8 decimeters is welded into a rectangular iron sheet box, which can hold 546 liters of water. It is known that the length of this rectangular iron sheet is 21.2 decimeters, so the area of the rectangular iron sheet can be calculated


546 △ [(21.2-2.8 × 2) × 2.8], = 546 △ 43.68, = 12.5 (decimeter); 21.2 × (12.5 + 2.8 + 2.8), = 21.2 × 18.1, = 383.72 (square decimeter); a: the area of rectangular sheet iron is 383.72 square decimeter



How much iron sheet should be used to weld 15 rectangular open buckets with side length of 25 cm and height of 4 decimeters?


25 cm = 2.5 decimeter, (2.5 × 2.5 + 2.5 × 4 × 4) × 15, = (6.25 + 40) × 15, = 46.25 × 15, = 693.75 (square decimeter); answer: at least 693.75 square decimeter iron sheet is required